Results 91 to 98 of about 956 (98)

ON CONGRUENCES INVOLVING EULER POLYNOMIALS AND THE QUOTIENTS OF FERMAT

, 2021
The aim of this paper is to provide the residues of Euler polynomials modulo p2 in terms of alternating sums of like powers of numbers in arithmetical progression. Also, we establish the analogue of a classical congruence of Lehmer.
Douk-Soo Jang
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MULTIPLICATION FORMULA AND (w, q)-ALTERNATING POWER SUMS OF TWISTED q-EULER POLYNOMIALS OF THE SECOND KIND

, 2021
In this paper, we define twisted q-Euler polynomials of the second kind and explore some properties. We find generating function of twisted q-Euler polynomials of the second kind.
J. Choi, A. Kim
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A Note on the Tangent Numbers and Polynomials

, 2013
In this paper we introduce the tangent numbers Tn and polynomials Tn(x). Some interesting results and relationships are obtained.
C. Ryoo
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Convolutions of Bernoulli and Euler Polynomials

Sarajevo Journal of Mathematics
By means of the generating function technique, several convolution identities are derived for the polynomials of Bernoulli and Euler.   2000 Mathematics Subject Classification.
W. Chu, R. R. Zhou
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Some implicit summation formulas and symmetric identities for the generalized Hermite-Based polynomials

, 2014
In this paper, we introduce a unified family of Hermite-based Apostol Bernoulli, Euler and Genocchi polynomials.We shall show that there is an intimate connection between these polynomials and a new class of generalized polynomials associated with the ...
M. A. Pathan, W. Khan
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Symmetric Properties for the Degenerate Tangent Polynomials Associated with p-Adic Integral on Z p

, 2015
In [7], we studied the degenerate tangent numbers and polynomials. By using these numbers and polynomials, we give some interesting relations between the generalized falling factorial sums and the degenerate tangent polynomials.
C. Ryoo
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Power sums of arithmetic progressions and Bernoulli polynomials

International Journal of Contemporary Mathematical Sciences, 2019
For k ∈ N0, we consider the polynomial Sk(x) associated with the sum of powers of natural numbers Sk(n) = 0 k + 1k + 2k + · · ·+ (n− 1)k. Expressing Sk(x) in Faulhaber’s form, and using the link between Sk(x) and the Bernoulli polynomials Bk(x), we ...
J. Cereceda
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A note on twisted Changhee polynomials and numbers with weight

, 2015
The Changhee polynomials and numbers are introduced by D.S.Kim et al in [5]. Some interesting identities and properties of those polynomials are derived from umbral calculus(see [5]).
G. Sohn, J. Kwon
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