Results 21 to 30 of about 833,509 (313)
On modifications of the exponential integral with the Mittag-Leffler function [PDF]
Fractional Calculus and Applied Analysis, 2018 In this paper we survey the properties of the Schelkunoff modification of the Exponential integral and we generalize it with the Mittag-Leffler function.
F. Mainardi, E. Masina
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Degenerate exponential integral function and its properties [PDF]
Arab Journal of Mathematical SciencesPurpose – In this paper, the author introduces a degenerate exponential integral function and further studies some of its analytical properties. The new function is a generalization of the classical exponential integral function and the properties ...
Kwara Nantomah
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The Integrating Factor Method in Banach Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2018 The so called integrating factor method, used to find solutions of ordinary differential equations of a certain type, is well known. In this article, we extend it to equations with values in a Banach space.
Josefina Alvarez +2 more
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Decomposition of Time-Ordered Products and Path-Ordered Exponentials [PDF]
, 1998 We present a decomposition formula for $U_n$, an integral of time-ordered products of operators, in terms of sums of products of the more primitive quantities $C_m$, which are the integrals of time-ordered commutators of the same operators. The resulting
Lam, C. S.
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A p-analogue of the exponential integral function and some properties
, 2020 In this paper, we introduced a p-analogue of the exponential integral function and further establish some analytical inequalities involving the function.
Ahmed Yakubu, K. Nantomah, M. Iddrisu
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Calculus of Variations and Partial Differential Equations, 2022 AbstractWe discuss Meyers-Serrin’s type results for smooth approximations of functions$$b=b(t,x): \mathbb {R}\times \mathbb {R}^n\rightarrow \mathbb {R}^m$$b=b(t,x):R×Rn→Rm, with convergence of an energy of the form$$\begin{aligned} \int _{\mathbb {R}}\int _{\mathbb {R}^n} w(t,x) \varphi \left( |Db(t,x)|\right) \textrm{d} x \textrm{d} t\,, \end{aligned}
Ambrosio Luigi +3 more
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A Series Representation for the Hurwitz–Lerch Zeta Function
Axioms, 2021 We derive a new formula for the Hurwitz–Lerch zeta function in terms of the infinite sum of the incomplete gamma function. Special cases are derived in terms of fundamental constants.
Robert Reynolds, Allan Stauffer
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Identities of symmetry for Euler polynomials arising from quotients of fermionic integrals invariant under S_3 [PDF]
, 2010 In this paper, we derive eight basic identities of symmetry in three variables related to Euler polynomials and alternating power sums. These and most of their corollaries are new, since there have been results only about identities of symmetry in two ...
Kim, Dae San, Park, Kyoung Ho
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Integral inequalities for exponentially harmonically convex functions via fractional integral operators [PDF]
Miskolc Mathematical Notes, 2021 The main aim of this paper is to derive some new integral inequalities related to Hermite-Hadamard type by using Riemann-Liouville fractional integral operator for the class of exponentially harmonically convex functions. The formal technique of this paper may enhance further research in this field.
Rashid, Saima +3 more
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KETAKSAMAAN INTEGRAL GRONWALL-BELLMAN UNTUK FUNGSI BERPANGKAT
Barekeng, 2011 Integral inequality of Gronwall-Bellman is known as an integral inequality which consists of differential and integral forms. Integral inequality of Gronwall-Bellman involving several functions that some definite condition hold and integral values of ...
Monalisa E. Rijoly +2 more
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