Results 111 to 120 of about 27,298 (248)

On the restricted partition function via determinants with Bernoulli polynomials. II [PDF]

, 2020
Mircea Cimpoeaş
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GENERALIZED BINOMIAL EXPANSIONS AND BERNOULLI POLYNOMIALS

, 2014
We investigate generalized binomial expansions that arise from two-dimensional sequences satisfying a broad generalization of the triangular recurrence for binomial coefficients. In particular, we present a new combinatorial formula for such sequences in terms of a 'shift by rank' quasi-expansion based on ordered set partitions.
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Some symmetric identities for the generalized Bernoulli, Euler and Genocchi polynomials associated with Hermite polynomials [PDF]

, 2016
Waseem Ahmad Khan, Hiba Haroon
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A new family of degenerate poly-Bernoulli polynomials of the second kind with its certain related properties

, 2021
Waseem Ahmad Khan, Abdulghani Muhyi, Rifaqat Ali, Naeem Ahmad, Manoj Singh, Praveen Agarwal   +5 more
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A New Approach to -Bernoulli Numbers and -Bernoulli Polynomials Related to -Bernstein Polynomials

Advances in Difference Equations, 2010
We present a new generating function related to the -Bernoulli numbers and -Bernoulli polynomials. We give a new construction of these numbers and polynomials related to the second-kind Stirling numbers and -Bernstein polynomials.
Açikgöz Mehmet, Erdal Dilek, Araci Serkan   +2 more
doaj  

A new family of q-Bernstein polynomials: probabilistic viewpoint

Arab Journal of Basic and Applied Sciences
In this paper, we introduce a new class of polynomials, called probabilistic q-Bernstein polynomials, alongside their generating function. Assuming [Formula: see text] is a random variable satisfying moment conditions, we use the generating function of ...
Ayse Karagenc, Mehmet Acikgoz, Serkan Araci   +2 more
doaj   +1 more source

Higher-order Bernoulli and poly-Bernoulli mixed type polynomials [PDF]

, 2013
Dae San Kim, Taekyun Kim
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Some formulas for fully degenerate Bernoulli numbers and polynomials [PDF]

, 2022
Taekyun Kim, Dae San Kim
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Congruences involving Bernoulli polynomials

Discrete Mathematics, 2008
The author proves congruences modulo \(p\), an odd prime, between values of Bernoulli polynomials \(B_n(x)\) and certain sums of Kronecker symbols \(({k\over p})\) or, alternatively, sums of binomial coefficients \(p\choose k\). He also proves similar congruences for Euler polynomials \(E_n(x)\).
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New approach to the complete sum of products of the twisted (h, q)-Bernoulli numbers and polynomials [PDF]

, 2007
Yılmaz Şimşek, Veli Kurt, Daeyeoul Kim   +2 more
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