Results 41 to 50 of about 96 (94)

Computing a family of probabilistic numbers in terms of probabilistic Stirling numbers of the second kind

Applied Mathematics in Science and Engineering
In 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
doaj   +1 more source

Bivariate q-Laguerre–Appell polynomials and their applications

Applied Mathematics in Science and Engineering
Recently, the monomiality principle has been extended to q-polynomials, namely, the q-monomiality principle of q-Appell polynomials has been considered.
Mohammed Fadel, Nusrat Raza, Ahmed Al-Gonah, Ugur Duran   +3 more
doaj   +1 more source

Explicit expressions for the related numbers of higher order appell polynomials

, 2020
In this note, by using the Hasse-Teichm¨uller derivatives, we obtain two explicit expressions for the related numbers of higher order Appell polynomials.
Hu, Su, Komatsu, Takao
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Some identities on the weighted q-Euler numbers and q-Bernstein polynomials

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
doaj  

A Note on Bernstein Polynomials Associated with q-Euler Numbers and Polynomials

, 2011
In this paper, we give some identities on the q-Euler numbers and polynomials associated with Bernstein polynomials. By using the fermionic invariant integral on Z p , we derive some relations between q-Euler polynomials and Bernstein polynomials ...
Y H Kim, T Kim, J Choi
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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.
europepmc   +1 more source

Numerical Investigation on the Structure of the Zeros of the Twisted Tangent Polynomials

, 2013
In [3], we introduced the twisted tangent numbers T n,w and polynomials T n,w (x). In this paper, we observe the distribution of complex roots of the twisted tangent polynomials T n,w (x), using numerical investigation.
C S Ryoo
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Fractional Euler numbers and generalized proportional fractional logistic differential equation. [PDF]

Fract Calc Appl Anal, 2022
Nieto JJ.
europepmc   +1 more source

Orthonormal Bernoulli Polynomials for Solving a Class of Two Dimensional Stochastic Volterra-Fredholm Integral Equations. [PDF]

Int J Appl Comput Math, 2022
Pourdarvish A, Sayevand K, Masti I, Kumar S.   +3 more
europepmc   +1 more source

The modified degenerate q-Bernoulli polynomials arising from p-adic invariant integral on Z p

, 2017
Dolgy et al. introduced the modified degenerate Bernoulli polynomials, which are different from Carlitz\u2019s degenerate Bernoulli polynomials (see Dolgy et al. in Adv. Stud. Contemp. Math. (Kyungshang) 26(1):1-9, 2016 ). In this
Kwon, Jongkyum, Lee, Jeong
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