Results 41 to 50 of about 681 (108)
New inequalities for some generalized Mathieu type series and the Riemann zeta function
, 2018 Our aim in this paper is to derive several new inequalities for the Mathieu type series and the Riemann zeta function. In particular, we prove Turán type inequalities and some monotonicity and log-convexity results for these special functions.
H. Srivastava, K. Mehrez, Ž. Tomovski
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Some Completely Monotonic Properties for the (p, g)-Gamma Function [PDF]
, 2012 MSC 2010: 33B15, 26A51 ...
Krasniqi, Valmir, Merovci, Faton
core
Limit formulas for ratios of polygamma functions at their singularities
, 2012 In the paper the author presents limit formulas for ratios of polygamma functions at their singularities.Comment: 4 ...
Qi, Feng
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Complete monotonicity and inequalites involving Gurland's ratios of gamma functions
Mathematical Inequalities & Applications, 2019 In this paper, by a comparison inequality for an auxiliary function with two parameters, we present necessary and sufficient conditions for four classes of ratios involving gamma function to be logarithmically completely monotonic. These not only greatly
Zhen-Hang Yang, Shenzhou Zheng
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On the k‐Bicomplex Gamma and k‐Bicomplex Beta Functions and Their Properties
Journal of Mathematics, Volume 2025, Issue 1, 2025.This paper intends to extend certain special functions from one complex variable to the bicomplex setting. Specifically, we define the k‐bicomplex Gamma and k‐bicomplex Beta functions. Subsequently, several properties and formulas pertaining to k‐bicomplex Gamma, k‐bicomplex Beta, and k‐shifted factorial are derived. We also explore applications of the
Mohra Zayed +4 more
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On generalized fractional integral with multivariate Mittag-Leffler function and its applications
Alexandria Engineering Journal, 2022 The fractional calculus (FC) has been extensively studied by researchers due to its vast applications in sciences in the last few years. In fractional calculus, multivariate Mittag–Leffler functions are considered the powerful extension of the classical ...
Amna Nazir +6 more
doaj
Umbral Methods and Harmonic Numbers
Axioms, 2018 The theory of harmonic-based functions is discussed here within the framework of umbral operational methods. We derive a number of results based on elementary notions relying on the properties of Gaussian integrals.
Giuseppe Dattoli +3 more
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, 2020 In this paper we introduce the Umbrella function and its recurrence relations. Also we provide the integral representation for the this newly defined function. Mathematics Subject Classification : 33B15, 33E12.
Kuldeep Sing Gehlot
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A Sharp Simpson’s Second Type Inequality via Riemann–Liouville Fractional Integrals
Journal of Mathematics, Volume 2025, Issue 1, 2025.This paper deals with a new sharp version of Simpson’s second inequality by using the concepts of absolute continuity, Grüss inequality, and Chebyshev functionals. To demonstrate the applicability of the main result, three examples are given. Also, as generalization of the main result, a Simpson’s second type inequality related to the class of Riemann ...
Mohsen Rostamian Delavar +1 more
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Demonstratio MathematicaIn this study, using convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other analytic techniques, the authors verify decreasing property
Yin Hong-Ping, Han Ling-Xiong, Qi Feng
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