Results 21 to 30 of about 2,598 (191)
Generating Functions for Bessel Functions [PDF]
Canadian Journal of Mathematics, 1959 On replacing the parameter n in Bessel's differential equation1.1by the operator y(∂/∂y), the partial differential equation Lu = 0 is constructed, where1.2This operator annuls u(x, y) = v(x)yn if, and only if, v(x) satisfies (1.1) and hence is a cylindrical function of order n.
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THE GENERALIZED Q-BESSEL MATRIX FUNCTION OF TWO VARIABLES
مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020 The Bessel function is probably the best known special function, within pure and applied mathematics. In this paper, we introduce the generalized q-analogue Bessel matrix function of two variables.
Fadhl S. N. Alsarahi
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Construction of Generalized k-Bessel–Maitland Function with Its Certain Properties
Journal of Mathematics, 2021 The main motive of this study is to present a new class of a generalized k-Bessel–Maitland function by utilizing the k-gamma function and Pochhammer k-symbol.
Waseem Ahmad Khan +4 more
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Certain fractional kinetic equations involving the product of generalized k-Bessel function
Alexandria Engineering Journal, 2016 We develop a new and further generalized form of the fractional kinetic equation involving the product of the generalized k-Bessel function. The manifold generality of the generalized k-Bessel function is discussed in terms of the solution of the ...
Praveen Agarwal +2 more
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The Extended Bessel-Maitland Function and Integral Operators Associated with Fractional Calculus
Journal of Mathematics, 2020 The aim of this paper is to introduce a presumably and remarkably altered integral operator involving the extended generalized Bessel-Maitland function. Particular properties are considered for the extended generalized Bessel-Maitland function connected ...
Kelelaw Tilahun +2 more
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Partial sums of generalized Bessel functions [PDF]
Journal of Mathematical Inequalities, 2014 Let gp,b,c n (z )= z+ n ∑ m=1 bmz m+1 be the sequence of partial sums of generalized ∞ ∑ m=1 bmz m+1 where bm = (−c/4) m m!(κ)m and κ :=
Yagmur, Nihat, ORHAN, Halit
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Normalized generalized Bessel function and its geometric properties
Journal of Inequalities and Applications, 2022 The normalization of the generalized Bessel functions U σ , r $\mathrm{U}_{\sigma,r}$ ( σ , r ∈ C ) $(\sigma,r\in \mathbb{C}\mathbbm{)}$ defined by U σ , r ( z ) = z + ∑ j = 1 ∞ ( − r ) j 4 j ( 1 ) j ( σ ) j z j + 1 $$\begin{aligned} \mathrm{U}_{\sigma,r}
Hanaa M. Zayed, Teodor Bulboacă
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Generalized Bessel Functions and Generalized Hermite Polynomials
Journal of Mathematical Analysis and Applications, 1993 The authors explore some interesting connections of certain generalized Bessel functions [J. Math. Phys. 33, No. 1, 25-36 (1992; Zbl 0752.33009)] with the generalized Hermite polynomials of \textit{H. W. Gould} and \textit{A. T. Hopper} [Duke Math. J. 29, 51-63 (1962; Zbl 0108.065)].
Dattoli, G. +4 more
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Analysis of Generalized Bessel–Maitland Function and Its Properties
Axioms, 2023 In this article, we introduce the generalized Bessel–Maitland function (EGBMF) using the extended beta function and some important properties obtained.
Talha Usman +2 more
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Certain integrals involving generalized Mittag-Leffler type functions
Vojnotehnički Glasnik, 2022 Introduction/purpose: Certain integrals involving the generalized MittagLeffler function with different types of polynomials are established. Methods: The properties of the generalized Mittag-Leffler function are used in conjunction with different ...
Sirazul Haq +3 more
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