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(p, q)-Extended Bessel and Modified Bessel Functions of the First Kind
Results in Mathematics, 2017Inspired by certain recent extensions of the Euler's beta, Gauss hypergeometric and confluent hypergeometric functions [1], we introduce (p, q)- extended Bessel function J_{; ; ; \nu, p, q}; ; ; , the (p, q)- extended modified Bessel function I_{; ; ; ; \nu, p, q}; ; ; ; of the first kind of order \nu by making use two additional parameters in the ...
D. Jankov Maširević +2 more
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International Journal of Computer Mathematics, 2014
Volterra's model for population growth in a closed system includes an integral term to indicate accumulated toxicity in addition to the usual terms of the logistic equation. In this research, a new numerical algorithm is introduced for solving this model. The proposed numerical approach is based on the modified Bessel function of the first kind and the
K. Parand, J. Rad, Mehran Nikarya
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Volterra's model for population growth in a closed system includes an integral term to indicate accumulated toxicity in addition to the usual terms of the logistic equation. In this research, a new numerical algorithm is introduced for solving this model. The proposed numerical approach is based on the modified Bessel function of the first kind and the
K. Parand, J. Rad, Mehran Nikarya
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On a second type Neumann series of modified Bessel functions of the first kind
Integral Transforms and Special Functions, 2020 The main aim of this article is to establish a summation formula for the second type Neumann series which members contain a product of two modified Bessel functions of the first kind of not necessarily equal orders and arguments.
Dragana Jankov Maširević +1 more
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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tie‐Hong Zhao +2 more
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Evaluation of the Modified Bessel Function of the First Kind and Zeroth Order
The American Mathematical Monthly, 1930C. C. Furnas
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Geometric Properties of the Products of Modified Bessel Functions of the First Kind
Bulletin of the Malaysian Mathematical Sciences Society, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khaled Mehrez, Sourav Das, Anish Kumar
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Summations of Schlömilch series containing modified Bessel function of the second kind terms
Integral Transforms and Special Functions, 2015Dragana Jankov Maširević
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Tables of Modified Quotients of Bessel Functions of the First Kind for Real and Imaginary Arguments
Physics Today, 1959 Morio Onoe, J. Gillis
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On series representations for modified Bessel function of second kind of integer order
Integral transforms and special functions, 2018The main aim of this paper is to establish two finite sum representation formulae for the modified Bessel function of the second kind of positive integer order : one of them includes among the generalized hypergeometric function and the another which ...
D. Jankov Maširević, T. Pogány
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Mathematical methods in the applied sciences
A new analytical approximation function is proposed to accurately fit the solution of a fractional differential equation of order one‐half, whose nonhomogeneous term is defined by a modified Bessel function of the first kind.
B. Droguett +3 more
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A new analytical approximation function is proposed to accurately fit the solution of a fractional differential equation of order one‐half, whose nonhomogeneous term is defined by a modified Bessel function of the first kind.
B. Droguett +3 more
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