Results 11 to 20 of about 371 (66)

Fully degenerate Bell polynomials associated with degenerate Poisson random variables

Open Mathematics, 2021
Many mathematicians have studied degenerate versions of quite a few special polynomials and numbers since Carlitz’s work (Utilitas Math. 15 (1979), 51–88). Recently, Kim et al.
Kim Hye Kyung
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Explicit Formulas involving q-Euler Numbers and Polynomials [PDF]

, 2012
In this paper, we deal with q-Euler numbers and q-Bernoulli numbers. We derive some interesting relations for q-Euler numbers and polynomials by using their generating function and derivative operator.
Acikgoz, Mehmet, Araci, Serkan, Seo, Jong Jin   +2 more
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Two closed forms for the Bernoulli polynomials [PDF]

, 2015
In the paper, the authors find two closed forms involving the Stirling numbers of the second kind and in terms of a determinant of combinatorial numbers for the Bernoulli polynomials and numbers.Comment: 7 ...
Chapman, Robin J., Qi, Feng
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Some identities on Bernstein polynomials associated with q-Euler polynomials [PDF]

, 2011
In this paper we investigate some properties for the q-Euler numbers ans polymials. From these properties we give some identities on the Bernstein polymials and q-Euler polynpmials.Comment: 8 ...
Bayad, Abdelmejid, Kim, Taekyun, Lee, Byunje, Rim, Seog-Hoon   +3 more
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A note on the values of the weighted q-Bernstein polynomials and modified q-Genocchi numbers with weight alpha and beta via the p-adic q-integral on Zp [PDF]

, 2012
The rapid development of q-calculus has led to the discovery of new generalizations of Bernstein polynomials and Genocchi polynomials involving q-integers.
DS Kim, HM Srivastava, HM Srivastava, IN Cangul, M Acikgoz, Mehmet Açikgöz, S Araci, S Araci, S Araci, S Araci, S Araci, S Araci, S-H Rim, Serkan Araci, T Kim, T Kim, T Kim, T Kim, T Kim, T Kim, T Kim, T Kim, T Kim, T Kim, Y Simsek, Y Simsek   +25 more
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Sums of Powers and Special Polynomials

Discussiones Mathematicae - General Algebra and Applications, 2020
In this paper, we discuss sums of powers 1p + 2p + + np and compute both the exponential and ordinary generating functions for these sums. We express these generating functions in terms of exponential and geometric polynomials and also show their ...
Boyadzhiev Khristo N.
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Two identities and closed-form formulas for the Bernoulli numbers in terms of central factorial numbers of the second kind

Demonstratio Mathematica, 2022
In this article, the authors present two identities involving products of the Bernoulli numbers, provide four alternative proofs for these two identities, derive two closed-form formulas for the Bernoulli numbers in terms of central factorial numbers of ...
Chen Xue-Yan, Wu Lan, Lim Dongkyu, Qi Feng   +3 more
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Diagonal recurrence relations for the Stirling numbers of the first kind [PDF]

, 2015
In the paper, the author presents diagonal recurrence relations for the Stirling numbers of the first kind. As by-products, the author also recovers three explicit formulas for special values of the Bell polynomials of the second kind.Comment: 7 ...
Qi, Feng
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SOME REMARKS ABOUT STIRLING NUMBERS OF THE SECOND KIND

Human Research in Rehabilitation, 2013
In this paper we give a representation of Stirling numbers of the second kind, we obtain explicit formulas for some cases of Stirling numbers of the second kind and illustrate a method for founding other such formulas.
Ramiz Vugdalić, Fatih Destović
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Analytic Continuation of weighted q-Genocchi numbers and polynomials

, 2012
In the present paper, we analyse analytic continuation of weighted q-Genocchi numbers and polynomials. A novel formula for weighted q-Genocchi- Zeta function {\zeta}G,q (s | {\alpha}) in terms of nested series of {\zeta}G,q (n | {\alpha}) is derived ...
Acikgoz, Mehmet, Araci, Serkan, Gursul, Aynur   +2 more
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