Results 1 to 10 of about 87,370 (149)

Extension of exton's hypergeometric function K16

Cubo, 2021
The purpose of this article is to introduce an extension of Exton's hypergeometric function K16 by using the extended beta function given by Özergin et al. [11].
Ahmed Ali Atash, Maisoon Ahmed Kulib
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A Series Expansion of a Logarithmic Expression and a Decreasing Property of the Ratio of Two Logarithmic Expressions Containing Sine

Mathematics, 2023
In the paper, by virtue of a derivative formula for the ratio of two differentiable functions and with the help of a monotonicity rule, the authors expand a logarithmic expression involving the sine function into the Maclaurin power series in terms of ...
Xin-Le Liu, Hai-Xia Long, Feng Qi
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A series expansion of a logarithmic expression and a decreasing property of the ratio of two logarithmic expressions containing cosine

Open Mathematics, 2023
In this study, by virtue of a derivative formula for the ratio of two differentiable functions and with aid of a monotonicity rule, the authors expand a logarithmic expression involving the cosine function into the Maclaurin power series in terms of ...
Li Yan-Fang, Qi Feng
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Calculation of Two Types of Quaternion Step Derivatives of Elementary Functions

Mathematics, 2021
We aim to get the step derivative of a complex function, as it derives the step derivative in the imaginary direction of a real function. Given that the step derivative of a complex function cannot be derived using i, which is used to derive the step ...
Ji Eun Kim
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Derivative and higher-order Cauchy integral formula of matrix functions

Open Mathematics, 2021
The derivative of a nn-order matrix function on the complex field is usually defined as a n2{n}^{2}-order matrix, which is not suitable for generalizing Cauchy integral formula of matrix functions to its higher-order derivative form. In this paper, a new
Huang Xiaojie, Liu Zhixiu, Wu Chun
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Electrical Circuits RC, LC, and RLC under Generalized Type Non-Local Singular Fractional Operator

Fractal and Fractional, 2021
The current study is of interest when performing a useful extension of a crucial physical problem through a non-local singular fractional operator. We provide solutions that include three arbitrary parameters α, ρ, and γ for the Resistance-Capacitance ...
Bahar Acay, Mustafa Inc
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Numerical Solution of Nonlinear Fractional Diffusion Equation in Framework of the Yang–Abdel–Cattani Derivative Operator

Fractal and Fractional, 2021
In this manuscript, the time-fractional diffusion equation in the framework of the Yang–Abdel–Cattani derivative operator is taken into account. A detailed proof for the existence, as well as the uniqueness of the solution of the time-fractional ...
Igor V. Malyk, Mykola Gorbatenko, Arun Chaudhary, Shivani Sharma, Ravi Shanker Dubey   +4 more
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Signal Propagation in Electromagnetic Media Modelled by the Two-Sided Fractional Derivative

Fractal and Fractional, 2021
In this paper, wave propagation is considered in a medium described by a fractional-order model, which is formulated with the use of the two-sided fractional derivative of Ortigueira and Machado.
Jacek Gulgowski, Dariusz Kwiatkowski, Tomasz P. Stefański   +2 more
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Thomae’s derivative formulae for trigonal curves [PDF]

Letters in Mathematical Physics, 2019
21 pages, mainly added two references and Remark 3 ...
Enolski, Victor, Kopeliovich, Yaacov, Zemel, Shaul   +2 more
openaire   +3 more sources

Canonisation reper of complex of lines of theree-dimensional flag

Қарағанды университетінің хабаршысы. Математика сериясы, 2016
The paper studies the three-parameter geometric image of the line - a complex of line of three-dimensional space of the flag. It identifies the main forms that depend linearly on three basic parameters diferentials.
A.T. Musin
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