Results 31 to 40 of about 703 (65)
Applied Mathematics in Science and EngineeringAssume that X is the Bernoulli random variable with parameter [Formula: see text], and that random variables [Formula: see text] are a sequence of mutually independent copies of X.
Taekyun Kim, Dae San Kim, Jongkyum Kwon
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Applied Mathematics in Science and EngineeringIn this paper, we introduce the probabilistic Bernoulli numbers, Cauchy numbers, and Euler numbers of order α associated with the random variable Y, utilizing the generating function approach.
Aimin Xu
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Probabilistic degenerate Bernoulli and degenerate Euler polynomials
Mathematical and Computer Modelling of Dynamical SystemsRecently, many authors have studied degenerate Bernoulli and degenerate Euler polynomials. Let [Formula: see text] be a random variable whose moment generating function exists in a neighbourhood of the origin.
Lingling Luo +3 more
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Alternating Euler sums at the negative integers
, 2008 We study three special Dirichlet series, two of them alternating, related to the Riemann zeta function. These series are shown to have extensions to the entire complex plane and we find their values at the negative integers (or residues at poles).
Boyadzhiev, Khristo N. +2 more
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Bivariate q-Laguerre–Appell polynomials and their applications
Applied Mathematics in Science and EngineeringRecently, the monomiality principle has been extended to q-polynomials, namely, the q-monomiality principle of q-Appell polynomials has been considered.
Mohammed Fadel +3 more
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Some identities on the weighted q-Euler numbers and
Journal of Inequalities and Applications, 2011 Recently, Ryoo introduced the weighted q-Euler numbers and polynomials which are a slightly different Kim's weighted q-Euler numbers and polynomials(see C. S. Ryoo, A note on the weighted q-Euler numbers and polynomials, 2011]).
Ryoo Cheon, Kim Taekyun, Kim Young-Hee
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Advances in Difference Equations, 2011 This paper performs a further investigation on the q-Bernoulli numbers and q-Bernoulli polynomials given by Acikgöz et al. (Adv Differ Equ, Article ID 951764, 9, 2010), some incorrect properties are revised.
Kim Taekyun, Lee Byungje, Ryoo Cheon
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Inequalities for higher order differences of the logarithm of the overpartition function and a problem of Wang-Xie-Zhang. [PDF]
Res Number Theory, 2023 Mukherjee G.
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Fractional Euler numbers and generalized proportional fractional logistic differential equation. [PDF]
Fract Calc Appl Anal, 2022 Nieto JJ.
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Orthonormal Bernoulli Polynomials for Solving a Class of Two Dimensional Stochastic Volterra-Fredholm Integral Equations. [PDF]
Int J Appl Comput Math, 2022 Pourdarvish A +3 more
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