Results 81 to 90 of about 278,807 (229)
A New Identity for Generalized Hypergeometric Functions and Applications [PDF]
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 (Some summation theorems for generalized hypergeometric functions, Axioms, 7 (2018), Article 38).
Masjed-Jamei, Mohammad, Koepf, Wolfram
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SOME PROPERTIES OF GENERALIZED HYPERGEOMETRIC FUNCTION
, 2013 In present paper, we obtain functions R t(c, ,a,b) and R t(c, µ,a,b) by using generalized hypergeometric function. A recurrence re- lation, integral representation of the generalized hypergeometric function 2R1(a,b;c; ;z) and some special cases have ...
Snehal B. Rao +3 more
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Further extension of the generalized Hurwitz-Lerch Zeta function of two variables
, 2019 The main aim of this paper is to give a new generalization of Hurwitz-Lerch Zeta function of two variables.Also, we investigate several interesting properties such as integral representations, summation formula and a connection with generalized ...
Nisar, Kottakkaran Sooppy
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
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On some closed-form evaluations for the generalized hypergeometric function
Boletim da Sociedade Paranaense de MatemáticaThe main objective of this note is to provide eight closed-form evaluations for the generalized hypergeometric function with argument $1$ and this is achieved by means of separating a generalized hypergeometric function into even and odd components ...
Arjun Kumar Rathie, B. R. Srivatsa Kumar
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Certain Class of Generating Functions for the Incomplete Hypergeometric Functions [PDF]
Abstract and Applied Analysis, 2014 Generating functions play an important role in the investigation of various useful properties of the sequences which they generate. In this paper, we aim to establish certain generating functions for the incomplete hypergeometric functions introduced by Srivastava et al. (2012).
Junesang Choi, Praveen Agarwal
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Inequalities for integrals of the modified Struve function of the first kind
, 2018 Simple inequalities for some integrals involving the modified Struve function of the first kind $\mathbf{L}_{\nu}(x)$ are established. In most cases, these inequalities have best possible constant.
Gaunt, Robert E.
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Aging Cell, EarlyView.Dietary sterols are essential nutrients for maintaining intestinal barrier integrity. Sterol competition caused by female reproduction exacerbates intestinal barrier damage during aging, thereby shortening female lifespan. ABSTRACT The trade‐off between reproduction and lifespan has been documented across a wide array of organisms, ranging from ...
Guixiang Yu +3 more
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, 2017 This paper presents the construction of a new set of generalized photon-added coherent states related to associated hypergeometric functions introduced in our previous work (Hounkonnou M N and Sodoga K, 2005, J. Phys. A: Math. Gen 38, 7851). These states
Aremua, I. +2 more
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The Lipidomic Profile Discriminates Between MASLD and MetALD
Alimentary Pharmacology &Therapeutics, Volume 61, Issue 8, Page 1357-1371, April 2025.HDL‐centric lipidomic biomarkers, particularly within large and medium HDL subfractions, distinguish metabolic dysfunction and alcohol‐related liver disease from metabolic dysfunction‐associated steatotic liver disease, suggesting potential biomarkers for clinical differentiation.
Kai Markus Schneider +15 more
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