[PDF] Top 20 A Note on the (p, q)-Hermite Polynomials
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A Note on the (p, q)-Hermite Polynomials
... on q-numbers have been studied and investigated succesfully, densely and considerably (see [7; ...(p; q)-numbers, many mathematicians and physicists have extensively developed the theory of post ... See full document
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2. Generalized $q$-Hermite Polynomials and the $q$-Dunkl Heat Equation
... discrete q-Hermite polynomials are con- ...these polynomials, and an explicit relations con- necting them with little q-Laguerre and q-Laguerre polynomials are ...the ... See full document
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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
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A note on \((p,q)\) Bernstein polynomials and their applications based on \((p,q)\) calculus
... Bernstein polynomials by using (p,q)-calculus, we give basic definitions and results related to (p, ...(p, q)-Bernstein ... See full document
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A note on Carlitz q Bernoulli numbers and polynomials
... a q-analog of p-adic L-functions and suggested two ...tic q-L-series that is a q-analog of Dirichlet L-function and interpolates Carlitz q-Ber- noulli numbers, which is an answer to ... See full document
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A note on the Barnes type q Euler polynomials
... Barnes-type q-Euler polynomials which are derived from the fermionic p-adic q-integrals and investigate some identities of these ...Barnes-type q-Changhee polynomials and ... See full document
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THE ALEXANDER POLYNOMIAL OF A TORUS KNOT WITH TWISTS
... This note gives an explicit calculation of the doubly infinite sequence ∆(p, q, 2m), m ∈ Z of Alexander polynomials of the (p, q) torus knot with m extra full twists on two ... See full document
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A NOTE ON TYPE 2 DEGENERATE MULTI-POLY-BERNOULLI POLYNOMIALS AND NUMBERS
... Special polynomials has recently been applied in numerous …elds of applied and pure mathematics besides in such other disciplines as physics, economics, statistics, probability theory, biology and engineering, ... See full document
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A note on modified degenerate q Daehee polynomials and numbers
... the q-Daehee polynomials (1.5), the degenerate λ-q-Daehee poly- nomials of the second kind in [12, 33, ...modified q-Daehee polynomials of the second kind ...the q-Daehee ... See full document
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A note on the values of weighted q Bernstein polynomials and weighted q Genocchi numbers
... The q-calculus theory is a novel theory that is based on finite difference ...in q-calculus belong to Euler, who discovered Euler’s identities for q-exponential functions, and Gauss, who discovered ... See full document
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A note on type 2 q Bernoulli and type 2 q Euler polynomials
... odd q-integers can be expressed by means of type 2 q-Bernoulli ...odd q-integers can be represented by virtue of type 2 q-Euler ...2 q-Bernoulli polynomials and type 2 ... See full document
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Note on q Extensions of Euler Numbers and Polynomials of Higher Order
... h, q- extension of Euler polynomials and ...new q-extension of Eu- ler numbers and polynomials to be different which is treated by Ozden et ...our q-Euler num- bers and ... See full document
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A note on \((h,q)\) Boole polynomials
... the q-extensions of Boole ...the q-Boole polynomials with weights and derive some new interesting identities and properties of those polynomials and numbers from the Witt-type formula which ... See full document
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A characterization of the Rogers q hermite polynomials
... By an orthogonal polynomial set OPS we shall mean those polynomial sets which satisfy three term recurrence relation of the form.. By Favard’s theorem [7] this is equivalent to the exist[r] ... See full document
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Certain results on (p,q)-Hermite based Apostol type Frobenius-Euler polynomials
... (p; q)-Hermite based Apostol type Frobenius-Euler numbers and polyno- mials and rthen develop some basic identities and ...mentioned polynomials and ...(p; q)-Hermite ... See full document
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... The q-Hermite polynomials are special or limiting case of the orthogonal poly- nomials as they contain no parameter other than q and appears to be at the bottom of a hierarchy of the classical ... See full document
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7.Summation formula for generalized discrete $q$-Hermite II polynomials
... for q- Hermite, q-Laguerre polynomials and other special ...or q-Hermite polynomials are also ...combinatorial q-series identities by applying the theory of ... See full document
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Note on Nasybullin's Lemma Associated with the Modified Adic Euler Measure
... of q-integrated Meyer- K ¨onig-Zeller-Durrmeyer q-MKZD operators, obtained moments for these operators, and estimated the convergence of these integrated q-MKZD ...the q-extension which is in ... See full document
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Composite Hermite and Anti Hermite Polynomials
... The Weber-Hermite differential equation, obtained as the dimensionless form of the stationary Schroedinger equation for a linear harmonic oscillator in quantum mechanics, has been expressed in a generalized form ... See full document
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... Special polynomials and numbers possess a lot of importances in many …elds of mathematics, physics, engineering and other related disciplines including the topics such as di¤erential equations, mathematical ... See full document
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