[PDF] Top 20 Some Identities Related with the Higher-order Deformed Degenerate Bernoulli and Euler Polynomials
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Some Identities Related with the Higher-order Deformed Degenerate Bernoulli and Euler Polynomials
... the degenerate Euler ...the higher-order degenerate Bernoulli polynomials and the higher-order degenerate Euler polynomials which are ... See full document
5
On the Identities of Symmetry for the Euler Polynomials of Higher Order
... recurrence identities for the ζ-Euler polynomials of higher order, which are closely related to the Frobenius-Euler polynomials of higher ...our ... See full document
9
On type 2 degenerate Bernoulli and Euler polynomials of complex variable
... 2 degenerate Bernoulli and type 2 degenerate Euler poly- nomials of complex variable, of which the latter are type 2 degenerate versions of the new type Euler polynomials ... See full document
15
Some identities of degenerate Euler polynomials associated with degenerate Bernstein polynomials
... various degenerate special polynomials and numbers and investigating their properties, some identities related to them and their ... See full document
11
On a q analog of some numbers and polynomials
... and polynomials of the first kind and of the second kind. We also derive some new interesting identities related to the Stirling numbers of the first kind and of the second kind, the ... See full document
9
Generalized Euler Numbers and Polynomials of Higher Order and Some Theoretic Identities
... are related to q-Euler numbers and polynomials of higher order attached to ...q-Euler polynomials attached to χ, and have some identities involving these ... See full document
6
10. Some series identities for some special classes of Apostol-Bernoulli and Apostol-Euler polynomials related to generalized power and alternating sums
... generalized Bernoulli polynomials B n (α) (x) of order α ∈ C , the generalized Euler polynomials E n (α) (x) of order α ∈ C and the generalized Genocchi polynomials G (α) ... See full document
15
Higher order Frobenius Euler and poly Bernoulli mixed type polynomials
... consider higher-order Frobenius-Euler polynomials, associated with poly-Bernoulli polynomials, which are derived from polylogarithmic ...These polynomials are called ... See full document
13
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] ... See full document
7
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 ... See full document
10
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[.] ... See full document
8
Some identities on Bernoulli and Euler polynomials arising from the orthogonality of Laguerre polynomials
... Kim et al Advances in Difference Equations 2012, 2012 201 http //www advancesindifferenceequations com/content/2012/1/201 R ES EA RCH Open Access Some identities on Bernoulli and Euler polynomials ari[.] ... See full document
8
Some identities on the higher order twisted q Euler numbers and polynomials with weight α
... of some families of higher- order-twisted q-Euler numbers and polynomials with weight a ...investigate higher-order-twisted q-Euler numbers and polynomials ... See full document
10
Modified degenerate Carlitz's $q$-bernoulli polynomials and numbers with weight ($\alpha ,\beta $)
... q-Bernoulli polynomials and numbers with weight (α, β), and satisfies some identities and properties of ...modified degenerate Carlitz’s q-Bernoulli polynomials and ... See full document
10
Some identities of Bernoulli, Euler and Abel polynomials arising from umbral calculus
... Kim et al Advances in Difference Equations 2013, 2013 15 http //www advancesindifferenceequations com/content/2013/1/15 R ES EA RCH Open Access Some identities of Bernoulli, Euler and Abel polynomials[.] ... See full document
8
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
Some new identities of Bernoulli, Euler and Hermite polynomials arising from umbral calculus
... Kim et al Advances in Difference Equations 2013, 2013 73 http //www advancesindifferenceequations com/content/2013/1/73 R ES EA RCH Open Access Some new identities of Bernoulli, Euler and Hermite poly[.] ... See full document
11
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... and polynomials and investigate some properties of these ...these polynomials by summation techniques series. Furthermore, we consider some relationships for (p, q)-Fubini polynomials ... See full document
13
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... of degenerate Hermite poly- Genocchi polynomials and give some identities of these polynomials related to the Stirling numbers of the second ...kind. Some implicit ... See full document
9
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... of degenerate Bernoulli numbers and polynomials arising from the degenerate logarithm ...of degenerate poly-Euler polynomials and numbers, are called degenerate ... See full document
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