Higher-Order Bernoulli Polynomials
A note on higher order Bernoulli polynomials
... Kim and Kim Journal of Inequalities and Applications 2013, 2013:111 http://www.journalofinequalitiesandapplications.com/content/2013/1/111.. A note on higher-order Bernoulli polynomials D[r] ...
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Symmetry Properties of Higher Order Bernoulli Polynomials
... Hindawi Publishing Corporation Advances in Difference Equations Volume 2009, Article ID 318639, 6 pages doi 10 1155/2009/318639 Research Article Symmetry Properties of Higher Order Bernoulli Polynomia[.] ...
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Higher order Bernoulli, Euler and Hermite polynomials
... Kim et al Advances in Difference Equations 2013, 2013 103 http //www advancesindifferenceequations com/content/2013/1/103 R E V IE W Open Access Higher order Bernoulli, Euler and Hermite polynomials D[.] ...
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Some Identities Related with the Higher-order Deformed Degenerate Bernoulli and Euler Polynomials
... the higher-order degenerate Bernoulli polynomials and the higher-order degenerate Euler polynomials which are defined by the generating functions, respectively ...
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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 ...
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Fourier series of higher order Bernoulli functions and their applications
... 13. Kim, T, Kim, DS, Kwon, HI: Some identities relating to degenerate Bernoulli polynomials. Filomat 30(4), 905-912 (2016) 14. Kim, T: Note on the Euler numbers and polynomials. Adv. Stud. Contemp. ...
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A Unification of the Generalized Multiparameter Apostol-type Bernoulli, Euler, Fubini, and Genocchi Polynomials of Higher Order
... and polynomials such as the Bernoulli numbers and polynomials, Euler numbers and polynomials, Genocchi numbers and polynomials, Fubini numbers and polynomials, and also their ...
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Some identities of higher order Bernoulli, Euler, and Hermite polynomials arising from umbral calculus
... Let us assume that P is the algebra of polynomials in the variable x over C and that P ∗ is the vector space of all linear functionals on P . L | p(x) denotes the action of the linear functional L on a polynomial ...
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A Note on Genocchi Polynomials and Numbers of Higher Order
... gives Bernoulli numbers at negative integers by interpolating Riemann zeta ...and polynomials related to Gaussian binomial coefficient and studied also some identities of q-Euler polynomials and ...
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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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A Note on Symmetric Properties of the Twisted Bernoulli Polynomials and the Twisted Generalized Bernoulli Polynomials
... q-Bernoulli polynomials and the twisted generalized q-Bernoulli polynomi- als attached to χ of higher order and investigate some symmetric properties of ...q- Bernoulli numbers ...
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Multiparameter Higher Order Daehee and Bernoulli Numbers and Polynomials
... of higher order Daehee and Bernoulli numbers and ...multiparameter higher order Dae- hee numbers and polynomials of the first and second ...and Bernoulli numbers are ...
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Series of sums of products of higher order Bernoulli functions
... cial polynomials coming from the quantum field theory computations As we can see, all of these proofs are quite involved. On the other hand, our proofs of Miki’s and Faber- Pandharipande-Zagier’s identities follow ...
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Higher order Frobenius Euler and poly Bernoulli mixed type polynomials
... Henceforth, F will denote both the algebra of formal power series in t and the vector space of all linear functionals on P, and so an element f (t) of F will be thought of as both a formal power series and a linear ...
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New results on higher order Daehee and Bernoulli numbers and polynomials
... for higher-order Daehee numbers and polynomials, higher-order λ -Daehee numbers and polynomials, and twisted λ -Daehee numbers and polynomials of order ...on ...
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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 of higher order Barnes type q Bernoulli polynomials and higher order Barnes type q Euler polynomials
... Some identities of higher order Barnes type q Bernoulli polynomials and higher order Barnes type q Euler polynomials Jang et al Advances in Difference Equations (2015) 2015 162 DOI 10 1186/s13662 015[.] ...
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On the Generalized Genocchi Numbers and Polynomials of Higher Order
... the higher-order generalized Genocchi numbers and polynomials attached to ...of higher-order generalized q-Genocchi numbers and polynomials attached to χ by using the generating ...
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On the Identities of Symmetry for the Euler Polynomials of Higher Order
... Then the values of E k n,ζ x at x 0 are called the ζ-Euler numbers of order k. When k 1, the polynomials or numbers are called the ζ-Euler polynomials or numbers. The purpose of this paper is to ...
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q Bernoulli numbers and q Bernoulli polynomials revisited
... This paper performs a further investigation on the q -Bernoulli numbers and q - Bernoulli polynomials given by Acikgöz et al. (Adv Differ Equ, Article ID 951764, 9, 2010), some incorrect properties ...
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