[PDF] Top 20 Arithmetic Identities Involving Bernoulli and Euler Numbers
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Arithmetic Identities Involving Bernoulli and Euler Numbers
... Kim, “Some identities on the q-Euler polynomials of higher order and q-Stirling numbers by the fermionic p-adic integral on Zp ,” Russian Journal of Mathematical Physics, vol.. Kim, “Sym[r] ... See full document
11
Integral Formulae of Bernoulli and Genocchi Polynomials
... Kim, “Identities for the Bernoulli, the Euler and the Genocchi numbers and polynomials,” Advanced Studies in Contemporary Mathematics, vol.. Kim, “Integral formulae of Bernoulli polynomi[r] ... See full document
9
Derivation of Identities Involving Bernoulli and Euler Numbers
... Lee, “Some identities on the q-Genocchi polynomials of higher-order and q-Stirling numbers by the fermionic p-adic integral on Zp ,” International Journal of Mathematics and Mathematical[r] ... See full document
15
Special Numbers on Analytic Functions
... The aim of this paper is to give some analytic functions which are related to the generating func- tions for the central factorial numbers. By using these functions and p-adic Volkenborn integral, we derive many ... See full document
8
SOME COMPUTATIONS BETWEEN SUMS OF POWERS OF CONSECUTIVE INTEGERS AND ALTERNATING SUMS OF POWERS OF CONSECUTIVE INTEGERS
... time, Bernoulli, Euler and Genocchi polynomials and numbers and its generalizations have been extensively studied and investigated by many mathematicians and physicists (see ...novel ... See full document
6
Identities on the Bernoulli and Genocchi Numbers and Polynomials
... Ryoo, “On the fermionic p-adic integral representation of Bernstein polynomials associated with Euler numbers and polynomials,” Journal of Inequalities and Applications, vol... Operation[r] ... See full document
10
Symmetric identities for Carlitz’s q Bernoulli numbers and polynomials
... 11. Yang, SL: An identity of symmetry for the Bernoulli polynomials. Discrete Math. 308, 550-554 (2008) 12. Howard, FT: Applications of a recurrence for the Bernoulli numbers. J. Number Theory 52, ... See full document
10
Viewing Some Ordinary Differential Equations from the Angle of Derivative Polynomials
... known identities for the Bernoulli numbers and polynomials, the Frobenius-Euler polynomials, the Euler numbers and polynomials, in terms of the Stirling numbers of the ... See full document
12
10. Some series identities for some special classes of Apostol-Bernoulli and Apostol-Euler polynomials related to generalized power and alternating sums
... The literature contains a large number of interesting properties and relationships involving these polynomials [1, 2, 3, 4, 5, 15]. Q.-M. Luo and Srivastava ([12, 14]) introduced the generalized ... See full document
15
Some Identities Related with the Higher-order Deformed Degenerate Bernoulli and Euler Polynomials
... Let be a odd prime number with of ≡ 1 ( 1) . Throughout this paper, , , and denote the ring of -adic integers, the filed of -adic rational numbers, and the completion of the algebraic closure of , respectively. ... See full document
5
New identities involving Bernoulli, Euler and Genocchi numbers
... According to statement by Cohen in the first paragraph of [, Chapter ], the p-adic functions with nice properties are powerful tools for studying many results of classical number theory in a straightforward manner, ... See full document
15
Identities on Genocchi Polynomials and Genocchi Numbers Concerning Binomial Coefficients
... of numbers or the three kinds of ...Genocchi numbers themselves and Genocchi polynomials ...some identities only concern Genocchi num- bers and Genocchi ...these identities combining with the ... See full document
7
Higher-order Euler-type polynomials and their applications
... higher-order Euler-type polynomials and ...and Euler-type polynomials and ...higher-order Euler-type polynomials is eigenfunctions for the generalized partial Hecke ... See full document
11
Some results for the q Bernoulli, q Euler numbers and polynomials
... The q -analogues of many well known formulas are derived by using several results of q -Bernoulli, q -Euler numbers and polynomials. The q -analogues of ζ-type functions are given by using generating ... See full document
16
A Note on Some Identities of Frobenius Euler Numbers and Polynomials
... Kim, “A note on Bernstein polynomials associated with q-Euler numbers and polynomials,” International Journal of Mathematics and Analysis, vol... International Journal of Mathematics and[r] ... See full document
10
Some new identities of Frobenius Euler numbers and polynomials
... interesting identities which are derived from the basis of ...some identities of Frobenius-Euler ...interesting identities of Frobenius-Euler numbers and ... See full document
10
Some identities on Bernoulli and Euler polynomials arising from orthogonality of Legendre polynomials
... Abstract The purpose of this paper is to investigate some interesting identities on the Bernoulli and Euler polynomials arising from the orthogonality of Legendre polynomials in the inne[r] ... See full document
8
Some Identities of Bernoulli Numbers and Polynomials Associated with Bernstein Polynomials
... Hindawi Publishing Corporation Advances in Difference Equations Volume 2010, Article ID 305018, 7 pages doi 10 1155/2010/305018 Research Article Some Identities of Bernoulli Numbers and Polynomials As[.] ... See full document
7
Several Series Identities Involving the Catalan Numbers
... series identity; Catalan number; Catalan function; Riemanian zeta function; alternative Hurwitz zeta function; digamma function.. This paper was typeset using AMS -L A TEX.[r] ... See full document
11
M24 Sum, Difference, CoFunctions and Double Identities .pdf
... 1 To illustrate the identities involving sums and differences of real.. numbers.[r] ... See full document
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