P-adic Numbers and Physics
On the Solutions of the Equation x3 + Ax = B in Z3* with Coefficients from Q3
... of p -adic numbers. In particular, p -adic analysis is one of the intensive developing directions of modern ...of p -adic numbers have found their own reflection in ...
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ON -ADIC GAMMA FUNCTION RELATED TO -DAEHEE POLYNOMIALS AND NUMBERS
... The p-adic numbers are a counterintuitive arithmetic system, which were …rstly introduced by the Kum- mer in ...these numbers, some mathematicians and physicists started to investigate new ...
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Relationships between Mahler Expansion and Higher Order q-Daehee polynomials
... The p-adic numbers are a counterintuitive arithmetic system, which were primarily considered by the Kummer in circa ...these numbers, many mathematicians and physicists started to develop new ...
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Note on Nasybullin's Lemma Associated with the Modified Adic Euler Measure
... Kim, “A note on p-adic Euler measure on Zp ,” Russian Journal of Mathematical Physics, vol.. Carlitz, “q-Bernoulli numbers and polynomials,” Duke Mathematical Journal, vol.[r] ...
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Applications on the Apostol Daehee numbers and polynomials associated with special numbers, polynomials, and p adic integrals
... and physics to economics and social science, in calculus and numerical analysis to approximate other functions ...special numbers. There are various applications of these polynomials and numbers in ...
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New families of special numbers and polynomials arising from applications of p adic q integrals
... special numbers and polynomials related to the Bernoulli numbers and polynomials, Euler type numbers and polynomials, the Stirling numbers have many applications in mathematics and in other ...
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On the Identities of Symmetry for the Generalized Bernoulli Polynomials Attached to of Higher Order
... Simsek, “On p-adic twisted q-L-functions related to generalized twisted Bernoulli numbers,” Russian Journal of Mathematical Physics, vol.. Kim, “New approach to the complete sum of produ[r] ...
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Some Identities on the Twisted (ℎ,𝑞) Genocchi Numbers and Polynomials Associated with 𝑞 Bernstein Polynomials
... 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] ...
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A Note on Nörlund Type Twisted Euler Polynomials and Numbers of Higher Order Associated with Fermionic Invariant Integrals
... 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, “Not[r] ...
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Bernoulli Basis and the Product of Several Bernoulli Polynomials
... 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.. Simsek, “[r] ...
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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] ...
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A Study of the p Adic Frobenius Lifts and p Adic Periods, from a Deformation Theory Viewpoint
... calls p-adic ( finite ) strings ...complex numbers, to the discrete graded case of p-adics and ...complex numbers are thought of as the algebraic closure of the to- pological closure of ...
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A Note on Hölder Type Inequality for the Fermionic Adic Invariant Integral
... Sug, “Extended q-Euler numbers and polynomials associated with fermionic p-adic q-integral on Zp ,” Russian Journal of Mathematical Physics, vol.. Rim, “New q-Euler numbers and polynomia[r] ...
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The p-adic group ring of
... Let p be a prime and let (K, O, k) be a p-modular system. This article is concerned with the group ring O SL 2 (p f ), where f ∈ N . Hence we are dealing with the discrete valuation ring version of ...
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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] ...
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Remarks on Sum of Products of Twisted Euler Polynomials and Numbers
... Euler numbers and polynomials were studied by many au- thors see for details ...constructed p-adic, q-Volkenborn integral identities. He proved p-adic, q-integral representation of ...
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Some Properties of the p-Adic Beta Function
... a p-adic analogue of the classical beta function by using ...Morita’s p-adic gamma ...the p-adic beta ...the p-adic beta functions at the values of natural ...
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Some identities of special numbers and polynomials arising from p adic integrals on \(\mathbb{Z} {p}\)
... and numbers has attracted many mathematicians and has been carried out by several different methods like generating functions, combinatorial approaches, umbral calculus, p-adic analysis, and ...
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On the Distribution of the Euler Polynomials and the Genocchi Polynomials of Higher Order
... The purpose of this paper is to give the distribution of extended higher order q-Euler and q-Genocchi polynomials. In 24, Choi-Anderson-Srivastava have studied the q-extension of the Apostol-Euler polynomials of order n, ...
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Generalized Euler Numbers and Polynomials Associated with Adic Integral on
... Euler numbers and polynomials see 1–15. The Euler numbers and polynomials possess many interesting properties and arising in many areas of mathematics and ...
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