scholarly journals Identities Involvingq-Bernoulli andq-Euler Numbers

2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
D. S. Kim ◽  
T. Kim ◽  
J. Choi ◽  
Y. H. Kim
Keyword(s):  
Integral Equations ◽  
Euler Numbers

We give some identities on theq-Bernoulli andq-Euler numbers by usingp-adic integral equations onℤp.

scholarly journals Arithmetic Identities Involving Bernoulli and Euler Numbers

2012 ◽  
Vol 2012 ◽  
pp. 1-10
Author(s):  
H.-M. Kim ◽  
D. S. Kim
Keyword(s):  
Integral Equations ◽  
Euler Numbers

The purpose of this paper is to give some arithmatic identities for the Bernoulli and Euler numbers. These identities are derived from the severalp-adic integral equations onℤp.

scholarly journals New construction of type 2 degenerate central Fubini polynomials with their certain properties

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Sunil Kumar Sharma ◽  
Waseem A. Khan ◽  
Serkan Araci ◽  
Sameh S. Ahmed
Keyword(s):  
Integral Equations ◽  
Euler Numbers ◽  
Central Factorial Numbers ◽  
New Construction ◽  
Degenerate Version

Abstract Kim et al. (Proc. Jangjeon Math. Soc. 21(4):589–598, 2018) have studied the central Fubini polynomials associated with central factorial numbers of the second kind. Motivated by their work, we introduce degenerate version of the central Fubini polynomials. We show that these polynomials can be represented by the fermionic p-adic integral on $\mathbb{Z}_{p}$ Z p . From the fermionic p-adic integral equations, we derive some new properties related to degenerate central factorial numbers of the second kind and degenerate Euler numbers of the second kind.

SOLUTION TO THE MODEL PROBLEM OF EXCITATION OF LOADED CONIC SLOT ANTENNA BY METHOD OF SINGULAR INTEGRAL EQUATIONS

2016 ◽  
Vol 75 (20) ◽  
pp. 1799-1812
Author(s):  
V. A. Doroshenko ◽  
S.N. Ievleva ◽  
N.P. Klimova ◽  
A. S. Nechiporenko ◽  
A. A. Strelnitsky
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Model Problem ◽  
Singular Integral Equations ◽  
Slot Antenna
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