Keywords: محاسبات Umbral; Bessel functions; Hermite polynomials; Umbral calculus
مقالات ISI محاسبات Umbral (ترجمه نشده)
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Keywords: محاسبات Umbral; Bernoulli polynomials; Poly-Cauchy polynomials; Degenerate poly-Cauchy polynomials; Umbral calculus; 05A19; 05A40; 11B83;
Keywords: محاسبات Umbral; 05A15; 05A40; 11B83; 11C20Determinants; Riordan arrays; Sheffer sequences; Umbral calculus
Keywords: محاسبات Umbral; Riordan arrays; Umbral calculus; Abelʼs identity;
Keywords: محاسبات Umbral; Abel and Gončarov polynomials; Appell relations; Delta operators; Interpolation; Umbral calculus
Theory of generalized trigonometric functions: From Laguerre to Airy forms
Keywords: محاسبات Umbral; Trigonometric and hyperbolic functions; Laguerre polynomials; Airy forms; Umbral calculus; Integral transforms; Operational methods;
Degenerate Mittag-Leffler polynomials
Keywords: محاسبات Umbral; Degenerate Mittag-Leffler polynomials; Falling factorial polynomials; Bernoulli polynomials; Frobenius-Euler polynomials; Umbral calculus; 05A19; 05A40; 11B68; 11B83; 65D20; 65Q30;
On a generalization of Bernstein polynomials and Bézier curves based on umbral calculus (III): Blossoming
Keywords: محاسبات Umbral; Umbral calculus; Bernstein polynomial; Bézier curve; Blossoming;
Umbral calculus associated with Bernoulli polynomials
Keywords: محاسبات Umbral; Bernoulli polynomials; Umbral calculus; Linear functional;
On a generalization of Bernstein polynomials and Bézier curves based on umbral calculus (II): de Casteljau algorithm
Keywords: محاسبات Umbral; Umbral calculus; Bernstein polynomial; Bézier curve; de Casteljau algorithm
A matrix approach to some identities involving Sheffer polynomial sequences
Keywords: محاسبات Umbral; Sheffer sequences; Umbral calculus; Generalized Pascal functional matrix; Wronskian matrix
On a symbolic representation of non-central Wishart random matrices with applications
Keywords: محاسبات Umbral; primary, 62H05, 60B20; secondary, 60E05, 62E17Random matrix; Moment method; Umbral calculus; Sheffer polynomial sequence; Complete homogeneous polynomial; Cyclic polynomial; Cumulant; Necklace; Permanent; Spectral polykay; Free probability
Classes of hypercomplex polynomials of discrete variable based on the quasi-monomiality principle
Keywords: محاسبات Umbral; Appell sets; Clifford algebras; Finite difference operators; Monomiality principle; Umbral calculus;
On a generalization of Bernstein polynomials and Bézier curves based on umbral calculus
Keywords: محاسبات Umbral; Umbral calculus; Generalized Bernstein polynomial; Generalized de Casteljau algorithm; Interpolation; Efficient evaluation
Multivariate Bernoulli and Euler polynomials via Lévy processes
Keywords: محاسبات Umbral; Multivariate moment; Multivariate Bernoulli polynomial; Multivariate Euler polynomial; Multivariate Lévy process; Umbral calculus
Pattern avoiding ballot paths and finite operator calculus
Keywords: محاسبات Umbral; Pattern avoidance; Ballot path; Dyck path; Finite operator calculus; Umbral calculus
Triangular expansions
Keywords: محاسبات Umbral; Umbral calculus; Numerical approximation; Approximations and expansions
On the computation of classical, boolean and free cumulants
Keywords: محاسبات Umbral; Umbral calculus; Classical cumulant; Boolean cumulant; Free cumulant; Abel polynomial
Some remarks on sequences of binomial type
Keywords: محاسبات Umbral; Umbral calculus; Function sequence of binomial type; Cross sequence; Sheffer sequence; Steffenson sequence
A note on harmonic numbers, umbral calculus and generating functions
Keywords: محاسبات Umbral; Umbral calculus; Operational identities; Generating functions; Monomiality principle; Harmonic numbers; Laguerre polynomials; Kampé de Fériet polynomials; Bessel function; Gaussian identity
Set maps, umbral calculus, and the chromatic polynomial
Keywords: محاسبات Umbral; 05C15; 05A40; 05A18Chromatic polynomial; Umbral calculus; Abel polynomials
A symbolic method for kk-statistics
Keywords: محاسبات Umbral; Umbral calculus; Symmetric polynomials; UU-Statistics; kk-Statistics; Joint cumulants
Lanczos' generalized derivative for higher orders
Keywords: محاسبات Umbral; Lanczos' method; Umbral calculus; Numerical differentiation;