Results 31 to 40 of about 13,948,536 (305)
Recurrent identities for two special functions of hypergeometric type
Вестник Самарского университета: Естественнонаучная серия, 2023 The article presents conclusions and proofs of Gauss-type identities for two known hypergeometric type functions. For the derivation and justification of formulas, the representation of functions in the form of a series is used, as well as an integral ...
Svetlana V. Podkletnova
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Somewhat (gamma,beta)-semicontinuous functions
Boletim da Sociedade Paranaense de Matemática, 2012 Summary: In this paper, some new classes of functions are introduced and studied by making use of \(\gamma\)-semiopen sets and \(\gamma\)-semiclosed sets.
N. Rajesh, C. Carpintero, E. Rosas
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A Hilbert-Type Integral Inequality in the Whole Plane Related to the Hypergeometric Function and the Beta Function [PDF]
, 2015 A new Hilbert-type integral inequality in the whole plane with the non-homogeneous kernel and parameters is given. The constant factor related to the hypergeometric function and the beta function is proved to be the best possible.
M. Rassias, Bicheng Yang
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Further Extension of the Generalized Hurwitz-Lerch Zeta Function of Two Variables
Mathematics, 2019 The main aim of this paper is to provide a new generalization of Hurwitz-Lerch Zeta function of two variables. We also investigate several interesting properties such as integral representations, summation formula, and a connection with the generalized ...
Kottakkaran Sooppy Nisar
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New extension of beta, Gauss and confluent hypergeometric functions
Cumhuriyet Science Journal, 2021 There are many extensions and generalizations of Gamma and Beta functions in the literature. However, a new extension of the extended Beta function B_(ζ〖, α〗_1)^(α_2;〖 m〗_1,〖 m〗_2 ) (a_1,a_2 ) was introduced and presented here because of its important ...
Umar Muhammad Abubakar +1 more
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Journal of Function Spaces, 2018 By means of the technique of real analysis and the weight functions, a few equivalent statements of a Hilbert-type integral inequality with the nonhomogeneous kernel in the whole plane are obtained.
Dong-mei Xin, Bicheng Yang, Aizhen Wang
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Supersymmetry inspired QCD beta function [PDF]
Physical Review D, 2008 17 pages and 3 figures.
Ryttov, Thomas Aaby, Sannino, Francesco
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New Extension of Beta Function and Its Applications
International Journal of Mathematics and Mathematical Sciences, 2018 In the present paper, new type of extension of classical beta function is introduced and its convergence is proved. Further it is used to introduce the extension of Gauss hypergeometric function and confluent hypergeometric functions. Then we study their
M. Chand, H. Hachimi, R. Rani
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IEEE Access, 2019 The penetration of distributed power sources has been increasing with the continuous promotion of clean renewable energy sources. This paper seeks to improve the utilization rate of clean energy and reduce the cost of microgrid operation by first ...
Bifei Tan, Haoyong Chen
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Applied Sciences, 2022 Dynamic Multi-Objective Optimization Problems (DMOPs) and Many-Objective Optimization Problems (MaOPs) are two classes of the optimization field that have potential applications in engineering.
Ahlem Aboud +5 more
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