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Some Inequalities of Extended Hypergeometric Functions [PDF]
Mathematics, 2021 Hypergeometric functions and their inequalities have found frequent applications in various fields of mathematical sciences. Motivated by the above, we set up certain inequalities including extended type Gauss hypergeometric function and confluent hypergeometric function, respectively, by virtue of Hölder integral inequality and Chebyshev’s integral ...
Shilpi Jain +2 more
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Some Results of Extended Beta Function and Hypergeometric Functions by Using Wiman’s Function
Mathematics, 2021 The main aim of this research paper is to introduce a new extension of the Gauss hypergeometric function and confluent hypergeometric function by using an extended beta function. Some functional relations, summation relations, integral representations, linear transformation formulas, and derivative formulas for these extended functions are derived.
Shilpi Jain +2 more
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Differential inequalities imposed by the extended hypergeometric function. [PDF]
Springerplus, 2016 Recently, the generalized hypergeometric function is extended by utilizing the Beta function. Based on this type of function, we introduce a new operator in the open unit disk. The present article investigates some subordination and superordination results for certain normalized analytic functions in the open unit disk, which are acted upon by the ...
Ibrahim RW, Ahmad MZ, Al-Janaby HF.
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GENERALIZATION OF EXTENDED BETA FUNCTION, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS [PDF]
Honam Mathematical Journal, 2011 Summary: The main object of this paper is to present generalization of extended beta function, extended hypergeometric and confluent hypergeometric function introduced by Chaudhry et al. and obtained various integral representations, properties of beta function, Mellin transform, beta distribution, differentiation formulas, transform formulas ...
Rakesh K Parmar, Yong-Sup Kim
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On Extensions of Extended Gauss Hypergeometric Function
Communications in Advanced Mathematical Sciences, 2019 The aim of this paper is to introduce a new extensions of extended Gauss hypergeometric function. Certain integral representations, transformation and summation formulas for extended Gauss hypergeometric function are presented and some special cases are also discussed.
Ahmed Ali ATASH +2 more
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Extended τ-hypergeometric functions and associated properties
Comptes Rendus. Mathématique, 2015 Recently, an extension of the Pochhammer symbol was used in order to introduce and investigate a family of generalized hypergeometric functions [Srivastava et al. (2014) [11]]. The main object of this paper is to present an extension of the τ -Gauss hypergeometric functions
Hari Mohan Srivastava +4 more
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Extended Conformable K-Hypergeometric Function and Its Application
Advances in Mathematical PhysicsThe extended conformable k-hypergeometric function finds various applications in physics due to its ability to describe complex mathematical relationships arising in different physical scenarios. Here are a few instances of its uses in physics, including nuclear physics, fluid dynamics, quantum mechanics, and astronomy.
Mirza Abdul Qayyum +4 more
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Properties and Applications of Extended Hypergeometric Functions
Ingeniería y Ciencia, 2014 In this article, we study several properties of extended Gauss hypergeometric and extended confluent hypergeometric functions. We derive several integrals, inequalities and establish relationship between these and other special functions. We also show that these functions occur naturally instatistical distribution theory.
Daya K. Nagar +2 more
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Bivariate Extended Confluent Hypergeometric Function Distribution
American Journal of Mathematical and Management Sciences, 2013 SYNOPTIC ABSTRACT In this article, we define a bivariate extended confluent hypergeometric function density in terms of extended confluent hypergeometric function. We also derive several of its properties and results in terms of extended beta, extended confluent hypergeometric, and modified Bessel functions.
Daya K Nagar +2 more
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An extended Mittag Leffler function in terms of extended Wright complex hypergeometric function
Alexandria Engineering JournalAdvanced mathematical ideas such as the fractional integral operator and the Mittag-Leffler (M-L) function offer a strong foundation for comprehending complicated systems with memory and fractional dynamics. An epidemiological model that uses fractional derivatives to represent certain non-standard illness patterns.
Noreen Saba +4 more
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