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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Some Summation Theorems for Generalized Hypergeometric Functions
Axioms, 2018 Essentially, whenever a generalized hypergeometric series can be summed in terms of gamma functions, the result will be important as only a few such summation theorems are available in the literature. In this paper, we apply two identities of generalized
Mohammad Masjed-Jamei, Wolfram Koepf
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Inclusion Theorems of Certain Integral Transform Related to Normalized Hypergeometric Functions and Generalized Bessel Functions [PDF]
International Journal of Mathematics and Mathematical SciencesThis study explores the geometric properties of normalized Gaussian hypergeometric functions in a certain subclass of analytic functions. This work investigates the inclusion properties of integral operators associated with generalized Bessel functions ...
Manas Kumar Giri, Raghavendar K.
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Properties of Generalized Univariate Hypergeometric Functions [PDF]
Communications in Mathematical Physics, 2007 46 ...
van de Bult, F.J. +2 more
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A Study of Generalized Hypergeometric Function and its Applications in Vary Disciplines
Shodh SariElementary functions, Bessel functions, Legendre functions and many other special functions are included in the large family of mathematical functions known as generalized hypergeometric functions.
Mr. Mukesh Kumar Mahala +1 more
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Calogero-Sutherland-type quantum systems, generalized hypergeometric functions and superintegrability for integral chains [PDF]
Journal of High Energy PhysicsWe reinvestigate the Calogero-Sutherland-type (CS-type) models and generalized hypergeometric functions. We construct the generalized CS operators for circular, Hermite, Laguerre, Jacobi and Bessel cases and establish the generalized Lassalle-Nekrasov ...
Fan Liu +3 more
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Subclasses of Analytic Functions Defined by Generalized Hypergeometric Functions
Journal of Function Spaces, 2016 We introduce a new subclass of analytic functions in the unit disk U, defined by using the generalized hypergeometric functions, which extends some previous well-known classes defined by different authors.
Badr S. Alkahtani +2 more
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Two dimensional Laplace transforms of generalized hypergeometric functions
International Journal of Mathematics and Mathematical Sciences, 1988 The object of this paper is to obtain new operational relations between the original and the image functions that involve generalized hypergeometric G-functions.
R. S. Dahiya, I. H. Jowhar
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Some Results on the Extended Hypergeometric Matrix Functions and Related Functions
Journal of Mathematics, 2021 In this article, we discuss certain properties for generalized gamma and Euler’s beta matrix functions and the generalized hypergeometric matrix functions.
Mohamed Abdalla +2 more
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Abstract and Applied Analysis, 2020 The purpose of the present paper is to obtain some inclusion relation between various subclasses of harmonic univalent functions by applying certain convolution operators associated with Wright’s generalized hypergeometric functions.
Rajavadivelu Themangani +2 more
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