Results 1 to 10 of about 90,046 (266)
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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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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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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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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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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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 +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 +2 more
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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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Theorem on the differentiation of a composite function with a vector argument; pp. 195–200 [PDF]
Proceedings of the Estonian Academy of Sciences, 2010 The paper provides a theorem on the differentiation of a composite function with a vector argument. The theorem shows how the partial derivative of the total derivative of the composite function can be expressed through the total derivative of the ...
Vadim Kaparin, Ülle Kotta
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