Search Results - "Pogány, T. K."

A note on the article “Anomalous relaxation model based on the fractional derivative with a Prabhakar-like kernel” [Z. Angew. Math. Phys. (2019) 70: 42] by Górska, K., Horzela, A., Pogány, T. K.

“…Inspired by the article “Anomalous relaxation model based on the fractional derivative with a Prabhakar-like kernel” (Z. Angew. Math. Phys. (2019) 70:42) whose…”
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Non-Debye relaxations: Smeared time evolution, memory effects, and the Laplace exponents by Górska, K., Horzela, A., Pogány, T.K.

“…•Methods of generalized fractional calculus merged with the stochastic processes approach opens possibility to link memory functions with completely Bernstein…”
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Non-Debye relaxations: The characteristic exponent in the excess wings model by Górska, K., Horzela, A., Pogány, T.K.

“…•Properties of Bernstein functions are used to determine properties of physical systems undergoing excess wings relaxation.•Memory functions are identified…”
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On some new Gaussian hypergeometric summation formulae with applications by Kim, Insuk, Pogány, T.K., Rathie, Arjun K.

“…The aim of this note is to provide some new Gaussian hypergeometric summation formulae. These are further used to obtain certain new expressions for the…”
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Some Mathieu-type series associated with the Fox–Wright function by Pogány, T.K., Srivastava, H.M.

“…Closed-form integral expressions are derived here for a family of convergent Mathieu-type series and its alternating variant when their terms contain the…”
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Extended Srivastava’s triple hypergeometric H A,p,q function and related bounding inequalities by Parmar, R. K., Pogány, T. K.

“…In this paper, motivated by certain recent extensions of the Euler’s beta, Gauss’ hypergeometric and confluent hypergeometric functions (see [4]), we extend…”
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Inequalities for a unified family of Voigt functions in several variables by Srivastava, H. M., Pogány, T. K.

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Non-Debye relaxations: The characteristic exponent in the excess wings model by Górska, K, Horzela, A, Pogány, T. K

“…Commun. Nonlinear Sci. Numer. Simulat., 103 (2021) 106006 The characteristic (Laplace or L\'evy) exponents uniquely characterize infinitely divisible…”
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Non-Debye relaxations: smeared time evolution, memory effects, and the Laplace exponents by Górska, K, Horzela, A, Pogány, T. K

“…CNSNS 99 (2021) 105837 The non-Debye, \textit{i.e.,} non-exponential, behavior characterizes a large plethora of dielectric relaxation phenomena. Attempts to…”
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A note on paper "Anomalous relaxation model based on the fractional derivative with a Prabhakarlike kernel" [Z. Angew. Math. Phys. (2019) 70:42] by Górska, K, Horzela, A, Pogány, T. K

“…Z. Angew. Math. Phys. 70 (2019) 141 Inspired by the article "Anomalous relaxation model based on the fractional derivative with a Prabhakar-like kernel" (Z…”
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Extended Srivastava’s triple hypergeometric HA,p,q function and related bounding inequalities by Parmar, R. K., Pogány, T. K.

“…In this paper, motivated by certain recent extensions of the Euler’s beta, Gauss’ hypergeometric and confluent hypergeometric functions (see [4]), we extend…”
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Infinite summations of hypergeometric type terms by a probabilistic method by Jankov Maširević, D., Pogány, T. K.

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Multidimensional Lagrange–Yen-Type Interpolation Via Kotel'nikov–Shannon Sampling Formulas by Pogány, T. K.

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DISCRETE HILBERT TYPE INEQUALITY WITH NON-HOMOGENEOUS KERNEL by Ban, B. Draščić, Pogány, T. K.

“…A new version of discrete Hilbert type inequality is given where the kernel function is non-homogeneous. The main mathematical tools are the representation of…”
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On the complete monotonicity of the three parameter generalized Mittag-Leffler function $E_{\alpha, \beta}^{\gamma}(-x) by Górska, K, Horzela, A, Lattanzi, A, Pogány, T. K

“…Appl. Anal. Discrete Math. 15 (2021) 118-128 Using the Bernstein theorem we give a simple proof of the complete monotonicity of the three parameter generalized…”
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Integral representations and summations of the modified Struve function by Baricz, Árpád, Pogány, Tibor K.

“…It is known that the Struve function H ν and the modified Struve function L ν are closely connected to the Bessel function of the first kind J ν and to the…”
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Some families of Mathieu a-series and alternating Mathieu a-series by Pogány, Tibor K., Srivastava, H.M., Tomovski, Živorad

“…The main purpose of this paper is to present a number of potentially useful integral representations for the familiar Mathieu a-series as well as for its…”
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Integral representation of Mathieu (a, λ)-series by Pogány, Tibor K.

“…Integral representation and bilateral bounding inequalities are obtained for the Mathieu (a, λ)-series S(ϱ, μ, a, λ)…”
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Integral representation of a series which includes the Mathieu [formula omitted]-series by POGANY, Tibor K

“…Integral expression is deduced for the series S(r,μ,ν, a )= ∑ n=1 ∞ 2F 1 ν−μ+1 2 , ν−μ 2 +1;ν+1;− r 2 a(n) 2 a(n) ν−μ+1(a(n) 2+r 2) μ−1/2 , where r>0, μ>1/2,…”
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On integral representation of Bessel function of the first kind by DRASCIC, Biserka, POGANY, Tibor K

“…A first kind Fredholm integral equation with nondegenerate kernel is given, which particular solution is the Bessel function of the first kind. This equation…”
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