Results 31 to 40 of about 38,611 (276)
Open Physics, 2021 This article proposes a new approach based on quantum calculus framework employing novel classes of higher order strongly generalized Ψ\Psi -convex and quasi-convex functions.
Chu Yu-Ming +4 more
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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
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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
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Multidimensional Matrix Inversions and Elliptic Hypergeometric Series on Root Systems [PDF]
, 2020 Multidimensional matrix inversions provide a powerful tool for studying multiple hypergeometric series. In order to extend this technique to elliptic hypergeometric series, we present three new multidimensional matrix inversions.
Rosengren, Hjalmar +1 more
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The Stokes Phenomenon and Some Applications [PDF]
, 2015 Multisummation provides a transparent description of Stokes matrices which is reviewed here together with some applications. Examples of moduli spaces for Stokes matrices are computed and discussed.
van der Put, Marius
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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
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Mirror Maps, Modular Relations and Hypergeometric Series I [PDF]
, 1995 Motivated by the recent work of Kachru-Vafa in string theory, we study in Part A of this paper, certain identities involving modular forms, hypergeometric series, and more generally series solutions to Fuchsian equations.
Bong H. Lian +11 more
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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
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Hypergeometric series and harmonic number identities
Advances in Applied Mathematics, 2005 10 ...
CHU, Wenchang, DEDONNO L.
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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
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