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Definite Integral of Logarithmic Functions in Terms of the Incomplete Gamma Function
Mathematics, 2021 In this article we derive some entries and errata for the book of Gradshteyn and Ryzhik which were originally published by Bierens de Haan. We summarize our results using tables for easy reading and referencing.
Robert Reynolds, Allan Stauffer
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Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters [PDF]
, 1996 We consider the asymptotic behavior of the incomplete gamma functions gamma(-a,-z) and Gamma(-a,-z) as a goes to infinity. Uniform expansions are needed to describe the transition area z~a in which case error functions are used as main approximants.
Temme, Nico M.
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AIMS Mathematics, 2021 In this paper, we introduce a class of the multiplicative tempered fractional integral operators. Then, we investigate two Hermite–Hadamard type inequalities for this class. By using the established identity and the multiplicative convexity, we establish
Hao Fu, Yu Peng , Tingsong Du
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Основные свойства обобщенных гамма-функций [PDF]
, 2016 Проблематика. Стаття присвячена вивченню основних властивостей нових узагальнених гамма-функцій, узагальнених неповних гамма-функцій, узагальнених дігамма-функцій для їх кращого застосування у прикладних науках, для обчислення інтегралів, відсутніх у ...
Virchenko, N. O. +2 more
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More Special Functions Trapped [PDF]
, 2012 We extend the technique of using the Trapezoidal Rule for efficient evaluation of the Special Functions of Mathematical Physics given by integral representations.
Schwartz, Charles
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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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Some New Results for the $\mathscr{M}$-Transform Involving the Incomplete $I$-Functions [PDF]
Sahand Communications in Mathematical AnalysisIntegral transformations are crucial for solving a variety of actual issues. The right choice of integral transforms aids in simplifying both integral and differential problems into a solution-friendly algebraic equation.
Sanjay Bhatter, Nishant -, Sunil Purohit
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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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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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