Some certain classes of combinatorial numbers and polynomials attached to Dirichlet characters: their construction by \(p\)-adic integration and applications to probability distribution functions
From MaRDI portal
Publication:2080633
DOI10.1007/978-3-030-84721-0_33OpenAlexW4234751156MaRDI QIDQ2080633
Publication date: 9 October 2022
Full work available at URL: https://doi.org/10.1007/978-3-030-84721-0_33
Combinatorial probability (60C05) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Special sequences and polynomials (11B83)
Related Items
Implementation of computation formulas for certain classes of Apostol-type polynomials and some properties associated with these polynomials, Computational and implementational analysis of generating functions for higher order combinatorial numbers and polynomials attached to Dirichlet characters
Uses Software
Cites Work
- Barnes-type Peters polynomial with umbral calculus viewpoint
- Modification and unification of the Apostol-type numbers and polynomials and their applications
- Some identities of degenerate special polynomials
- \(q\)-Hardy-Berndt type sums associated with \(q\)-Genocchi type zeta and \(q\)-\(l\)-functions
- A new approach to \(q\)-Genocchi numbers and their interpolation functions
- Convolution identities for Cauchy numbers
- Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials
- Some generalizations of the Apostol-Genocchi polynomials and the Stirling numbers of the second kind
- A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials
- Unified Apostol-Bernoulli, Euler and Genocchi polynomials
- Extensions of the Genocchi polynomials and their Fourier expansions and integral representations
- \(q\)-Volkenborn integration
- Non-Archimedean \(q\)-integrals associated with multiple Changhee \(q\)-Bernoulli polynomials
- A unified presentation of three families of generalized Apostol type polynomials based upon the theory of the umbral calculus and the umbral algebra
- \(q\)-Bernoulli numbers and polynomials associated with multiple \(q\)-zeta functions and basic \(L\)-series
- On the \(q\)-extension of Euler and Genocchi numbers
- On the analogs of Euler numbers and polynomials associated with \(p\)-adic \(q\)-integral on \(\mathbb Z_{p}\) at \(q= - 1\)
- \(q\)-Genocchi numbers and polynomials associated with \(q\)-Genocchi-type \(l\)-functions
- A new generating function of (\(q\)-) Bernstein-type polynomials and their interpolation function
- Twisted \(p\)-adic \((h,q)\)-\(L\)-functions
- A new extension of \(q\)-Euler numbers and polynomials related to their interpolation functions
- On Euler numbers, polynomials and related \(p\)-adic integrals
- On a \(q\)-analogue of the \(p\)-adic log gamma functions and related integrals
- Some \(q\)-Bernoulli numbers of higher order associated with the \(p\)-adic \(q\)-integrals
- Generating functions for special polynomials and numbers including Apostol-type and Humbert-type polynomials
- \(q\)-analogue of twisted \(l\)-series and \(q\)-twisted Euler numbers
- New results on higher-order Daehee and Bernoulli numbers and polynomials
- Some classes of infinite series associated with the Riemann zeta and polygamma functions and generalized harmonic numbers.
- Identities, inequalities for Boole-type polynomials: approach to generating functions and infinite series
- Partial derivative formulas and identities involving 2-variable Simsek polynomials
- Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications
- Functional equations from generating functions: a novel approach to deriving identities for the Bernstein basis functions
- Formulas for Poisson-Charlier, Hermite, Milne-Thomson and other type polynomials by their generating functions and \(p\)-adic integral approach
- Generating functions for finite sums involving higher powers of binomial coefficients: analysis of hypergeometric functions including new families of polynomials and numbers
- Differential equations associated with degenerate Changhee numbers of the second kind
- On generating functions for Boole type polynomials and numbers of higher order and their applications
- New integral representations for Bernoulli and Euler polynomials
- Partial differential equations for a new family of numbers and polynomials unifying the Apostol-type numbers and the Apostol-type polynomials
- Some series identities involving the generalized Apostol type and related polynomials
- An invariant \(p\)-adic \(q\)-integral on \(\mathbb Z _p\)
- Apostol-Euler polynomials of higher order and Gaussian hypergeometric functions
- Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials
- Inverse series relations and other expansions involving Humbert polynomials
- On the Lerch zeta function
- Differential equations for Changhee polynomials and their applications
- A New Nonparametric Estimation Method of the Variance in Heteroscedastic Model
- Explicit formulas for computing Bernoulli numbers of the second kind and Stirling numbers of the first kind
- Computation methods for combinatorial sums and Euler-type numbers related to new families of numbers
- Apostol-Bernoulli functions, derivative polynomials and Eulerian polynomials
- Bernoulli polynomials of the second kind and their identities arising from umbral calculus
- Analysis of the Bernstein basis functions: an approach to combinatorial sums involving binomial coefficients and Catalan numbers
- ON THE ANALOGS OF BERNOULLI AND EULER NUMBERS, RELATED IDENTITIES AND ZETA AND L-FUNCTIONS
- The multiplication formulas for the Apostol–Bernoulli and Apostol–Euler polynomials of higher order
- Some formulas for the Bernoulli and Euler polynomials at rational arguments
- Construction method for generating functions of special numbers and polynomials arising from analysis of new operators
- Construction of some new families of Apostol-type numbers and polynomials via Dirichlet character and p-adic q-integrals
- An Invariant P -Adic Integral Associated with Daehee Numbers
- p-adicq-integrals associated with the Changhee–Barnes'q-Bernoulli polynomials
- Analysis of the p-adic q-Volkenborn integrals: An approach to generalized Apostol-type special numbers and polynomials and their applications
- New families of special numbers for computing negative order Euler numbers and related numbers and polynomials
- Matrix representations for a certain class of combinatorial numbers associated with Bernstein basis functions and cyclic derangements and their probabilistic and asymptotic analyses
- Analysis of Apostol-Type Numbers and Polynomials with Their Approximations and Asymptotic Behavior
- A note on Boole polynomials
- Peters type polynomials and numbers and their generating functions: Approach with p‐adic integral method
- Umbral calculus and Sheffer sequences of polynomials
- ANALYTIC PROPERTIES OF THE q-VOLKENBORN INTEGRAL ON THE RING OF p-ADIC INTEGERS
- Univariate Discrete Distributions
- A new family of Lerch-type zeta functions interpolating a certain class of higher-order Apostol-type numbers and Apostol-type polynomials
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
