Results 31 to 40 of about 101 (93)
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we establish a unified approach of inequalities for the finite products (i · (i + k) · ⋅⋅(i + (n − 1)k))/(k · 2k · ⋅⋅(nk)), where k ≥ 2 is a fixed integer and i ∈ {1, 2, …, k − 1}. Motivated by previously known results for the cases k = 2, 3, 4, and 5, we express these products in terms of gamma function ratios and investigate the ...
Jenică Crînganu, Smritijit Sen
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Some special functions and cylindrical diffusion equation on α-time scale
Demonstratio MathematicaThis article is dedicated to present various concepts on α\alpha -time scale, including power series, Taylor series, binomial series, exponential function, gamma function, and Bessel functions of the first kind.
Silindir Burcu +3 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper introduces a special version of hypergeometric functions constructed within the bicomplex system, referred to as the bicomplex confluent hypergeometric functions (BCHFs). We highlight important properties, concentrating on their structure with bicomplex numbers, their conditions for convergence, and their differential representation.
Mohra Zayed +4 more
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Solution to an open problem on a logarithmic integral and derived results
Annals of the West University of Timisoara: Mathematics and Computer ScienceThis article solves an open problem that was previously stated by providing an exact evaluation of a logarithmic integral. Furthermore, the result is generalized by introducing a new adjustable parameter.
Coine Clément, Chesneau Christophe
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Journal of Mathematics, Volume 2026, Issue 1, 2026.In this work, we present some analytical and topological framework for fractional nonlinear systems on compact‐open Banach spaces. By using the locally compact property of these spaces, the continuity and compactness of nonlinear operators are rigorously established.
Faten H. Damag +5 more
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An Inequality for the Psi Functions [PDF]
, 2008 For x > 0, let Γ(x) be the Euler's gamma function, and ψ(x) = Γ (x)/Γ(x) the psi function.
Lingli Wu
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Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we established a sharp integral inequality involving the Chebyshev functional and the average of Riemann integrable functions. Our main result furnishes a refined upper bound with the best possible constant, unifying and extending some classical inequalities (Hölder, Cauchy–Schwarz, Ostrowski, trapezoidal, and Simpson).
Mohsen Rostamian Delavar +2 more
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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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, 2020 We introduce the generalized zeta matrix function, digamma matrix function and polygamma matrix function. We obtain the regions of convergence of these matrix functions, some recurrence relations and their integral representations.
Sahai, Vivek, Dwivedi, Ravi
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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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