scientific article; zbMATH DE number 7390794

zbMath1488.11069MaRDI QIDQ4957137

Feng Qi, Bai-Ni Guo

Publication date: 3 September 2021

Full work available at URL: http://elib.mi.sanu.ac.rs/files/journals/kjm/49/8_eng.html

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

convexityintegral representationgenerating functionrelationrecursive formulaexplicit formulacomplete monotonicitydeterminantal inequalitylogarithmic convexitycentral Delannoy numbersproduct inequalitylarge Schröder numberlittle Schröder number

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Laplace transform (44A10) Special sequences and polynomials (11B83) Elementary classical functions (33B99) Monotonic functions, generalizations (26A48) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Calculation of integer sequences (11Y55)

Related Items (13)

Some properties of the Schröder numbers ⋮ Integral representations of bivariate complex geometric mean and their applications ⋮ Explicit formulas and recurrence relations for generalized Catalan numbers ⋮ Determinant identities for the Catalan, Motzkin and Schröder numbers ⋮ Special values of the Bell polynomials of the second kind for some sequences and functions ⋮ Unnamed Item ⋮ The reciprocal of the weighted geometric mean of many positive numbers is a Stieltjes function ⋮ Two Nice Determinantal Expressions and A Recurrence Relation for the Apostol--Bernoulli Polynomials ⋮ Computation of several Hessenberg determinants ⋮ A diagonal recurrence relation for the Stirling numbers of the first kind ⋮ Integral representations of the large and little Schröder numbers ⋮ Unnamed Item ⋮ Determinantal Formulas and Recurrent Relations for Bi-Periodic Fibonacci and Lucas Polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Several closed expressions for the Euler numbers
• Explicit expressions for a family of the Bell polynomials and applications
• Schur-convexity of the Catalan-Qi function related to the Catalan numbers
• Derivatives of tangent function and tangent numbers
• Two closed forms for the Bernoulli polynomials
• On the degree of the weighted geometric mean as a complete Bernstein function
• Remarks on some inequalities of A. M. Fink
• Completely monotonic and related functions
• A certain class of completely monotonic sequences
• The harmonic and geometric means are Bernstein functions
• A complete monotonicity property of the gamma function
• Some explicit and recursive formulas of the large and little Schröder numbers
• Some properties of the Schröder numbers
• Some properties of completely monotonic sequences and related interpolation
• An integral representation for the weighted geometric mean and its applications
• Lévy-Khintchine representations of the weighted geometric mean and the logarithmic mean
• Integral representation of some functions related to the gamma function
• EXPLICIT MINIMUM POLYNOMIAL, EIGENVECTOR AND INVERSE FORMULA OF DOUBLY LESLIE MATRIX
• Lévy-Khintchine representation of the geometric mean of many positive numbers and applications
• Catalan Numbers
• A property of logarithmically absolutely monotonic functions and the logarithmically complete monotonicity of a power-exponential function
• Some properties of functions related to the gamma and psi functions
• Bernstein functions. Theory and applications

This page was built for publication: