Results 21 to 30 of about 1,745,713 (225)
Mathematics, 2020 We study an energy-dependent potential related to the Rosen–Morse potential. We give in closed-form the expression of a system of eigenfunctions of the Schrödinger operator in terms of a class of functions associated to a family of hypergeometric para ...
Jorge A. Borrego-Morell +2 more
doaj +1 more source
Fourier Transform of the Orthogonal Polynomials on the Unit Ball and Continuous Hahn Polynomials
Axioms, 2022 Some systems of univariate orthogonal polynomials can be mapped into other families by the Fourier transform. The most-studied example is related to the Hermite functions, which are eigenfunctions of the Fourier transform.
Esra Güldoğan Lekesiz +2 more
doaj +1 more source
Some properties of generalized hypergeometric Appell polynomials
Karpatsʹkì Matematičnì Publìkacìï, 2020 Let $x^{(n)}$ denotes the Pochhammer symbol (rising factorial) defined by the formulas $x^{(0)}=1$ and $x^{(n)}=x(x+1)(x+2)\cdots (x+n-1)$ for $n\geq 1$.
L. Bedratyuk, N. Luno
doaj +1 more source
Hypergeometric functions in arithmetic geometry [PDF]
, 2009 textHypergeometric functions seem to be ubiquitous in mathematics. In this document, we present a couple of ways in which hypergeometric functions appear in arithmetic geometry.
Salerno, Adriana Julia, 1979-
core +1 more source
Identities between q-hypergeometric and hypergeometric integrals of different dimensions [PDF]
, 2004 Given complex numbers m1,l1 and nonnegative integers m2,l2, such that m1+m2=l1+l2, for any a,b=0,…,min(m2,l2) we define an l2-dimensional Barnes type q-hypergeometric integral Ia,b(z,μ;m1,m2,l1,l2) and an l2-dimensional hypergeometric integral Ja,b(z,μ ...
Varchenko, A. +3 more
core +1 more source
Hadamard k-fractional inequalities of Fejér type for GA-s-convex mappings and applications
Journal of Inequalities and Applications, 2019 The main aim of this paper is to establish some Fejér-type inequalities involving hypergeometric functions in terms of GA-s-convexity. For this purpose, we construct a Hadamard k-fractional identity related to geometrically symmetric mappings.
Hui Lei +3 more
doaj +1 more source
Interpretation of a basic hypergeometric identity with Lie characters and Young tableaux [PDF]
, 1995 A combinatorial interpretation involving semistandard tableaux is provided for a four parameter terminating sum identity for the basic hypergeometric series 6φ5.
Robert A. Procter +3 more
core +1 more source
A Non-Standard Generating Function for Continuous Dual $q$-Hahn polynomials
Revista de Matemática: Teoría y Aplicaciones, 2011 We study a non-standard form of generating function for the three-parameter continuous dual q-Hahn polynomials $p_{n} (x; a, b, | q)$, which has surfaced in a recent work of the present authors on the construction of lifting $q$-difference operators in ...
Mesuma Atakishiyeva, Natig Atakishiyev
doaj +1 more source
, 2016 R code script for performing the hypergeometric test and BH FDR correction (Bunnik et al., Genome Biology, 2016) This script performs a hypergeometric test on each row of a dataframe with 4 columns.
Evelien Bunnik (2831954)
core +1 more source
The Askey–Wilson Integral and Extensions
Mathematics, 2023 By means of the q-derivative operator method, we review the q-beta integrals of Askey–Wilson and Nassrallah–Rahman. More integrals are evaluated by the author, making use of Bailey’s identity of well-poised bilateral 6ψ6-series as well as the extended ...
Wenchang Chu
doaj +1 more source