Results 31 to 40 of about 170,209 (319)
Advances in Difference Equations, 2020 Motivated by a recent study on certain families of the incomplete H-functions (Srivastava et al. in Russ. J. Math. Phys. 25(1):116–138, 2018), we aim to investigate and develop several interesting properties related to product of a more general ...
K. Jangid +3 more
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Computing hypergeometric functions rigorously [PDF]
, 2016 We present an efficient implementation of hypergeometric functions in arbitrary-precision interval arithmetic. The functions ${}_0F_1$, ${}_1F_1$, ${}_2F_1$ and ${}_2F_0$ (or the Kummer $U$-function) are supported for unrestricted complex parameters and ...
Johansson, Fredrik
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Derangements and the 𝑝-adic incomplete gamma function
Transactions of the American Mathematical Society, 2022 We introduce a p p -adic analogue of the incomplete gamma function. We also introduce quantities ( m m -values) associated to a function on natural numbers and prove a new characterization of p p -adic continuity for functions with p p -integral m m -values ...
O'Desky, Andrew, Richman, David Harry
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New fractional inequalities of Hermite–Hadamard type involving the incomplete gamma functions
Journal of Inequalities and Applications, 2020 A specific type of convex functions is discussed. By examining this, we investigate new Hermite–Hadamard type integral inequalities for the Riemann–Liouville fractional operators involving the generalized incomplete gamma functions.
Pshtiwan Othman Mohammed +5 more
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Infinite Sum of the Incomplete Gamma Function Expressed in Terms of the Hurwitz Zeta Function
Mathematics, 2021 We apply our simultaneous contour integral method to an infinite sum in Prudnikov et al. and use it to derive the infinite sum of the Incomplete gamma function in terms of the Hurwitz zeta function.
Robert Reynolds, Allan Stauffer
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ON A NEW GENERALIZED BETA FUNCTION DEFINED BY THE GENERALIZED WRIGHT FUNCTION AND ITS APPLICATIONS
Malaysian Journal of Computing, 2021 Various extensions of classical gamma, beta, Gauss hypergeometric and confluent hypergeometric functions have been proposed recently by many researchers. In this paper, further generalized extended beta function with some of its properties like summation
Umar Muhammad Abubakar, Saroj Patel
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Asymptotic Inversion of Incomplete Gamma Functions [PDF]
Mathematics of Computation, 1992 The normalized incomplete gamma functions are defined by \[ P(a,x)={1\over{\Gamma(a)}} \int_ a^ x t^{a-1} e^{-t}dt, \qquad Q(a,x)={1\over{\Gamma(a)}} \int_ x^{+\infty} t^{a-1} e^{-t} dt, \] where \(a>0\), \(x\geq 0\). The author is interested in the \(x\)-values that solves the following (equivalent) equations: \(P(a,x)=p\), \(Q(a,x)=q\), where \(a>0\)
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The Unit Teissier Distribution and Its Applications
Mathematical and Computational Applications, 2022 A bounded form of the Teissier distribution, namely the unit Teissier distribution, is introduced. It is subjected to a thorough examination of its important properties, including shape analysis of the main functions, analytical expression for moments ...
Anuresha Krishna +3 more
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AIP Advances, 2011 By introducing a cutoff on the cumulative measure of a force, a unified kinetic theory is developed for both rigid-sphere and inverse-square force laws.
Yongbin Chang, Larry A. Viehland
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Axioms, 2023 In the first part of this investigation, we considered the parameter differentiation of the Whittaker function Mκ,μx. In this second part, first derivatives with respect to the parameters of the Whittaker function Wκ,μx are calculated.
Alexander Apelblat +1 more
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