| Publication | Date of Publication | Type |
|---|
| Asymptotic approximation of a highly oscillatory integral with application to the canonical catastrophe integrals | 2023-12-15 | Paper |
| New series expansions for the ℋ-function of communication theory | 2023-11-15 | Paper |
| An asymptotic expansion of the hyberbolic umbilic catastrophe integral | 2023-07-17 | Paper |
| Uniform convergent expansions of the error function in terms of elementary functions | 2023-05-24 | Paper |
| A convergent version of Watson's lemma for double integrals | 2023-04-11 | Paper |
| A convergent and asymptotic Laplace method for integrals | 2022-12-09 | Paper |
| An analytic representation of the second symmetric standard elliptic integral in terms of elementary functions | 2022-07-18 | Paper |
| New analytic representations of the hypergeometric functions \({}_{p+1}F_p\) | 2022-06-08 | Paper |
| The swallowtail integral in the highly oscillatory region III | 2022-04-22 | Paper |
| New recurrence relations for several classical families of polynomials | 2021-12-13 | Paper |
| Series representations of the Volterra function and the Fransén-Robinson constant | 2021-12-01 | Paper |
| Uniform approximations of the first symmetric elliptic integral in terms of elementary functions | 2021-11-04 | Paper |
| Uniformly convergent expansions for the generalized hypergeometric functions p–1Fp and pFp | 2021-04-28 | Paper |
| Uniform convergent expansions of integral transforms | 2021-03-29 | Paper |
| ASYMPTOTIC AND CONVERGENT EXPANSIONS FOR SOLUTIONS OF THIRD-ORDER LINEAR DIFFERENTIAL EQUATIONS WITH A LARGE PARAMETER | 2021-01-29 | Paper |
| Analysis of singular one-dimensional linear boundary value problems using two-point Taylor expansions | 2020-10-02 | Paper |
| The swallowtail integral in the highly oscillatory region. II | 2020-03-03 | Paper |
| The asymptotic expansion of the swallowtail integral in the highly oscillatory region | 2019-11-22 | Paper |
| An extension of the multiple Erdélyi-Kober operator and representations of the generalized hypergeometric functions | 2019-10-10 | Paper |
| A note on the asymptotic expansion of the Lerch's transcendent | 2019-08-26 | Paper |
| Convergent expansions of the confluent hypergeometric functions in terms of elementary functions | 2019-03-22 | Paper |
| The Pearcey integral in the highly oscillatory region | 2019-03-19 | Paper |
| Uniform representations of the incomplete beta function in terms of elementary functions | 2019-02-05 | Paper |
| Convergent and asymptotic methods for second-order difference equations with a large parameter | 2018-12-28 | Paper |
| Uniform convergent expansions of the Gauss hypergeometric function in terms of elementary functions | 2018-12-03 | Paper |
| Convergent expansions of the incomplete gamma functions in terms of elementary functions | 2018-05-15 | Paper |
| The use of two-point Taylor expansions in singular one-dimensional boundary value problems I | 2018-05-03 | Paper |
| Convergent expansions of the Bessel functions in terms of elementary functions | 2018-02-14 | Paper |
| A class of Meijer's G functions and further representations of the generalized hypergeometric functions | 2018-01-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4978135 | 2017-08-17 | Paper |
| A simplification of the stationary phase method: application to the Anger and Weber functions | 2017-07-07 | Paper |
| Representations of hypergeometric functions for arbitrary parameter values and their use | 2017-05-15 | Paper |
| Analytic formulas for the evaluation of the Pearcey integral | 2017-05-10 | Paper |
| Orthogonal basis with a conicoid first mode for shape specification of optical surfaces | 2016-06-17 | Paper |
| On a modification of Olver's method: a special case | 2016-04-21 | Paper |
| New series expansions for the confluent hypergeometric function \(M(a,b,z)\) | 2016-04-20 | Paper |
| Exponential wealth distribution : a new approach from functional iteration theory | 2015-11-17 | Paper |
| Asymptotic Reductions Between the Wilson Polynomials and the Lower Level Polynomials of the Askey Scheme | 2015-10-15 | Paper |
| Random Market Models with an H-Theorem | 2015-10-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5265754 | 2015-07-29 | Paper |
| Convergent and asymptotic expansions of solutions of differential equations with a large parameter: Olver cases II and III | 2015-06-23 | Paper |
| Convergent and asymptotic expansions of the Pearcey integral | 2015-06-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5173495 | 2015-02-16 | Paper |
| Series expansions of multi-dimensional Mellin convolution integrals | 2014-11-14 | Paper |
| Convergent and asymptotic expansions of solutions of second-order differential equations with a large parameter | 2014-10-21 | Paper |
| New series expansions of the \(_3F_2\) function | 2014-09-23 | Paper |
| Computation of Mellin convolution integrals with a logarithmic kernel: application to the third Appell function | 2014-07-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5412993 | 2014-04-28 | Paper |
| Asymptotics of the first Appell functionF1with large parameters II | 2013-12-20 | Paper |
| The second Appell function for one large variable | 2013-11-18 | Paper |
| Asymptotics of the first Appell functionF1with large parameters | 2013-10-18 | Paper |
| New series expansions of the Gauss hypergeometric function | 2013-08-27 | Paper |
| Approximations of the Poisson transform for large and small values of the transformation parameter | 2013-06-14 | Paper |
| The third Appell function for one large variable | 2013-02-18 | Paper |
| Olver's asymptotic method revisited; case I | 2012-08-30 | Paper |
| Two-point Taylor approximations of the solutions of two-dimensional boundary value problems | 2012-08-19 | Paper |
| A family of integrals analytically solvable | 2012-05-23 | Paper |
| The Liouville-Neumann expansion in singular eigenvalue problems | 2012-01-13 | Paper |
| Exponential wealth distribution in a random market. A rigorous explanation | 2011-10-21 | Paper |
| A Systematic “Saddle Point Near a Pole” Asymptotic Method with Application to the Gauss Hypergeometric Function | 2011-08-16 | Paper |
| The Error Function in the Study of Singularly Perturbed Convection-Diffusion Problems with Discontinuous Boundary Data | 2011-06-21 | Paper |
| A three-point Taylor algorithm for three-point boundary value problems | 2011-06-06 | Paper |
| The homotopy analysis method and the Liénard equation | 2011-04-06 | Paper |
| An explicit formula for the coefficients of the saddle point method | 2011-03-14 | Paper |
| Large degree asymptotics of generalized Bessel polynomials | 2011-02-22 | Paper |
| The Appell’s function $F\textunderscore \{2\}$ for large values of its variables | 2011-01-31 | Paper |
| The Liouville–Neumann approximation of the regular solutions of the Heun's equations | 2011-01-10 | Paper |
| Two-point Taylor expansions and one-dimensional boundary value problems | 2010-10-08 | Paper |
| Asymptotics and numerics of polynomials used in Tricomi and Buchholz expansions of Kummer functions | 2010-09-10 | Paper |
| Variation of parameters and solutions of composite products of linear differential equations | 2010-07-20 | Paper |
| The Liouville–Neumann expansion in one-dimensional boundary value problems | 2010-01-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3654489 | 2010-01-06 | Paper |
| Asymptotic expansions of mellin convolution integrals: an oscillatory case | 2009-12-18 | Paper |
| The confluent hypergeometric functions \(M(a,b;z)\) and \(U(a,b;z)\) for large \(b\) and \(z\) | 2009-12-18 | Paper |
| Large degree asymptotics of generalized Bernoulli and Euler polynomials | 2009-12-10 | Paper |
| A simplification of Laplace's method: applications to the gamma function and Gauss hypergeometric function | 2009-11-26 | Paper |
| A simplification of the Laplace method for double integrals. Application to the second Appell function | 2009-09-08 | Paper |
| A systematization of the saddle point method. Application to the Airy and Hankel functions | 2009-05-13 | Paper |
| A singular perturbation problem with discontinuous data in a cuboid | 2009-03-12 | Paper |
| Multi-point Taylor approximations in one-dimensional linear boundary value problems | 2009-02-25 | Paper |
| The Liouville–Neumann expansion at a regular singular point | 2009-02-05 | Paper |
| The Laplace's and steepest descents methods revisited | 2009-02-03 | Paper |
| Asymptotic approximations between the hahn-type polynomials and Hermite, Laguerre and charlier polynomials | 2008-12-16 | Paper |
| First Order Approximation of an Elliptic 3D Singular Perturbation Problem | 2008-10-17 | Paper |
| Approximating the amplitude and form of limit cycles in the weakly nonlinear regime of Liénard systems | 2008-09-10 | Paper |
| Asymptotic Expansions for Two Singularly Perturbed Convection-Diffusion Problems with Discontinuous Data: The Quarter Plane and the Infinite Strip | 2008-09-01 | Paper |
| Two‐Point Taylor Expansions of Analytic Functions | 2008-08-29 | Paper |
| Asymptotic relations between the Hahn-type polynomials and Meixner-Pollaczek, Jacobi, Meixner and Krawtchouk polynomials | 2008-06-19 | Paper |
| Two-point Taylor expansions in the asymptotic approximation of double integrals. Application to the second and fourth Appell functions | 2008-01-08 | Paper |
| The Stokes phenomenon as a boundary-value problem | 2007-09-13 | Paper |
| The role of the error function in a singularly perturbed convection–diffusion problem in a rectangle with corner singularities | 2007-09-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3445090 | 2007-06-08 | Paper |
| The Lambert transform for small and large values of the transformation parameter | 2007-03-30 | Paper |
| Asymptotic expansions of Mellin convolutions by means of analytic continuation | 2007-03-08 | Paper |
| Asymptotic behaviour of three-dimensional singularly perturbed convection-diffusion problems with discontinuous data | 2007-02-12 | Paper |
| The Gauss hypergeometric function \(F(a,b;c;z)\) for large \(c\) | 2006-10-30 | Paper |
| Symmetric standard elliptic integrals with two or three large parameters | 2006-07-13 | Paper |
| BIFURCATION CURVES OF LIMIT CYCLES IN SOME LIÉNARD SYSTEMS | 2006-06-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5707721 | 2005-11-24 | Paper |
| Incomplete gamma functions for large values of their variables | 2005-10-07 | Paper |
| Asymptotic approximations of integrals: an introduction, with recent developments and applications to orthogonal polynomials | 2005-09-19 | Paper |
| Asymptotic approximations for a singularly perturbed convection-diffusion problem with discontinuous data in a sector | 2005-06-30 | Paper |
| Asymptotic expansions of the Hurwitz--Lerch zeta function | 2004-11-23 | Paper |
| Asymptotic expansions of the Appell’s function 𝐹₁ | 2004-11-05 | Paper |
| Convergent asymptotic expansions of Charlier, Laguerre and Jacobi polynomials | 2004-10-05 | Paper |
| Analytic expansions of thermonuclear reaction rates | 2004-09-27 | Paper |
| Analytic approximations for a singularly perturbed convection-diffusion problem with discontinuous data in a half-infinite strip | 2004-08-20 | Paper |
| Multi-point Taylor expansions of analytic functions | 2004-08-13 | Paper |
| Two algorithms for computing the Randles-Sevcik function from electrochemistry. | 2004-06-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4454640 | 2004-03-08 | Paper |
| Number and amplitude of limit cycles emerging from topologically equivalent perturbed centers. | 2004-01-14 | Paper |
| Asymptotic relations in the Askey scheme for hypergeometric orthogonal polynomials | 2003-09-15 | Paper |
| Asymptotic expansions of the Lauricella hypergeometric function \(F _{D}\) | 2003-05-19 | Paper |
| Asymptotic expansions of the double zeta function | 2003-02-11 | Paper |
| Asymptotic expansions of the generalized Epstein-Hubbell integral | 2003-01-15 | Paper |
| Uniform Approximations of Bernoulli and Euler Polynomials in Terms of Hyperbolic Functions | 2002-12-11 | Paper |
| Asymptotic Expansions of Generalized Stieltjes Transforms of Algebraically Decaying Functions | 2002-12-11 | Paper |
| The Askey scheme for hypergeometric orthogonal polynomials viewed from asymptotic analysis | 2002-08-06 | Paper |
| An asymptotic expansion of the double gamma function | 2002-04-16 | Paper |
| Hermite polynomials in asymptotic representations of generalized Bernoulli, Euler, Bessel, and Buchholz polynomials | 2002-02-26 | Paper |
| Asymptotic expansion Of the incomplete beta function for large values Of the first parameter | 2002-01-09 | Paper |
| THE ROLE OF HERMITE POLYNOMIALS IN ASYMPTOTIC ANALYSIS | 2001-09-10 | Paper |
| Approximations of orthogonal polynomials in terms of Hermite polynomials | 2001-04-01 | Paper |
| Asymptotic expansions of intgrals: The term-by-term integration method | 2001-01-22 | Paper |
| Uniform asymptotic expansions of symmetric elliptic integrals | 2001-01-01 | Paper |
| Reflection anomaly in dimensions | 2000-12-18 | Paper |
| Asymptotic Expansions of Symmetric Standard Elliptic Integrals | 2000-10-19 | Paper |
| Asymptotic expansions of the Whittaker functions for large order parameter | 2000-10-03 | Paper |
| The limit cycles of Liénard equations in the strongly nonlinear regime | 2000-08-09 | Paper |
| Several series containing gamma and polygamma functions | 2000-06-18 | Paper |
| A family of multiple integrals analytically solvable | 2000-06-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4702511 | 1999-11-24 | Paper |
| The Whittaker function \(M_{\kappa,\mu}\) as a function of \(\kappa\) | 1999-10-18 | Paper |
| Zeros of the Whittaker function associated to Coulomb waves | 1999-01-01 | Paper |
| Some Remarks on High Derivative Quantum Gravity | 1998-10-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4352405 | 1998-02-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4855873 | 1995-11-22 | Paper |