Results 1 to 10 of about 1,745,713 (225)
Bailey pairs for the q-hypergeometric integral pentagon identity [PDF]
European Physical Journal C: Particles and Fields, 2023 In this work, we construct new Bailey pairs for the integral pentagon identity in terms of q-hypergeometric functions. The pentagon identity considered here represents the equality of the partition functions of certain three-dimensional supersymmetric ...
Ilmar Gahramanov, Osman Erkan Kaluc
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A New Identity for Generalized Hypergeometric Functions and Applications
Axioms, 2019 We establish a new identity for generalized hypergeometric functions and apply it for first- and second-kind Gauss summation formulas to obtain some new summation formulas. The presented identity indeed extends some results of the recent published paper (
Mohammad Masjed-Jamei, Wolfram Koepf
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Inequalities for some basic hypergeometric functions [PDF]
Проблемы анализа, 2019 We establish conditions for the discrete versions of logarithmic concavity and convexity of the higher order regularized basic hypergeometric functions with respect to the simultaneous shift of all its parameters.
Kalmykov S. I., Karp D. B.
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A note on a generalization of Riordan's combinatorial identity via a hypergeometric series approach [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 In this note, an attempt has been made to generalize the well-known and useful Riordan's combinatorial identity via a hypergeometric series approach.
Dongkyu Lim
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Applications of q-difference equation and homogeneous q-shift operator rΦs(Dxy) in q-polynomials
Partial Differential Equations in Applied Mathematics, 2023 In this paper, the generalized homogeneous q-shift operator is constructed. The q-difference equation is then utilized to construct numerous polynomial q-identities, such as the generating function and its extension, Rogers’ formula and its extension ...
Samaher A. Abdul-Ghani, Husam L. Saad
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A Note on Generalization of Combinatorial Identities Due to Gould and Touchard
Axioms, 2023 Using a hypergeometric series approach, a general combinatorial identity is found in this note, and among its special cases are well-known and classical combinatorial identities due to Gould and Touchard.
Arjun K. Rathie, Dongkyu Lim
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A General Family of q-Hypergeometric Polynomials and Associated Generating Functions
Mathematics, 2021 Basic (or q-) series and basic (or q-) polynomials, especially the basic (or q-) hypergeometric functions and the basic (or q-) hypergeometric polynomials are studied extensively and widely due mainly to their potential for applications in many areas of ...
Hari Mohan Srivastava, Sama Arjika
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Integral inequalities via harmonically h-convexity
Moroccan Journal of Pure and Applied Analysis, 2021 In this paper, we establish some estimates of the left side of the generalized Gauss-Jacobi quadrature formula for harmonic h-preinvex functions involving Euler’s beta and hypergeometric functions.
Merad Meriem +2 more
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Mathematics, 2021 Integral inequalities for ℘-convex functions are established by using a generalised fractional integral operator based on Raina’s function. Hermite–Hadamard type inequality is presented for ℘-convex functions via generalised fractional integral operator.
Saima Rashid +3 more
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Hyperbolic and trigonometric hypergeometric solutions to the star-star equation
European Physical Journal C: Particles and Fields, 2022 We construct the hyperbolic and trigonometric solutions to the star-star relation via the gauge/YBE correspondence by using the three-dimensional lens partition function and superconformal index for a certain $$\mathcal N=2$$ N = 2 supersymmetric gauge ...
Erdal Catak +2 more
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