Results 31 to 40 of about 687,469 (294)
Nicotinamide riboside functions during development while beta-hydroxybutyrate functions during adulthood to extend C. elegans lifespan [PDF]
Nicotinamide riboside (NR), a form of vitamin B3 and a nicotinamide adenine dinucleotide (NAD+) precursor, has been shown to activate the mitochondrial unfolded protein response (UPRmt) and extend the lifespan when supplemented to C. elegans. The ketone body and histone deacetylase (HDAC) inhibitor beta-hydroxybutyrate (BHB) has also been shown to ...
Jeffery Dylan Peters +2 more
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New extension of beta, Gauss and confluent hypergeometric functions
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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An Extension of Beta Function by Using Wiman’s Function
The main purpose of this paper is to study extension of the extended beta function by Shadab et al. by using 2-parameter Mittag-Leffler function given by Wiman.
Rahul Goyal +3 more
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A new Generalization of Extended Beta and Hypergeometric Functions
A new generalization of extended beta function and its various properties,integral representations and distribution are given in this paper. In addition, we establishthe generalization of extended hypergeometric and con uent hypergeometric functionsusing the newly extended beta function.
Kottakkaran Sooppy Nisar +2 more
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A Note on the New Extended Beta and Gauss Hypergeometric Functions
A variety of extensions of the classical beta function and the Gauss hypergeometric function 2F1 have been presented and investigated. In this sequel, we aim to give a further extension of the extended beta function, which is used to extend the 2F1 and the confluent hypergeometric function 1F1.
Anjali Goswami +3 more
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A (p,q)-extension of Srivastava's triple hypergeometric function HB and its properties [PDF]
In this paper, we obtain a (p,q)-extension of Srivastava's triple hypergeometric function HB(⋅), by using the extended Beta function Bp,q(x,y) introduced by Choi et al. (2014).
Dar, S. A., Paris, R. B.
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EXTENSION OF EXTENDED BETA, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS
Summary: Recently several authors have extended the gamma function, beta function, the hypergeometric function, and the confluent hypergeometric function by using their integral representations and provided many interesting properties of their extended functions.
Junesang Choi +2 more
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Properties and Applications of Extended Hypergeometric Functions
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.
Daya Krishna Nagar +2 more
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Integral transforms of an extended generalized multi-index Bessel function
In this paper, we discuss the extended generalized multi-index Bessel function by using the extended beta type function. Then we investigate its several properties including integral representation, derivatives, beta transform, Laplace transform, Mellin ...
Shahid Mubeen +5 more
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In a joint paper with Srivastava and Chopra, we introduced far-reaching generalizations of the extended Gammafunction, extended Beta function and the extended Gauss hypergeometric function.
Rakesh K. Parmar
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