- Sheffer polynomial
- полином m Шеффера
English-Russian Dictionary on Probability, Statistics, and Combinatorics. — Philadelphia and Moscow. Society for Industrial and Applied Mathematics and TVP Science Publishers. K. A. Borovkov. 1994.
Sheffer polynomial
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Sheffer sequence — In mathematics, a Sheffer sequence is a polynomial sequence, i.e., a sequence { p n ( x ) : n = 0, 1, 2, 3, ... } of polynomials in which the index of each polynomial equals its degree, satisfying conditions related to the umbral calculus in… … Wikipedia
Polynomial sequence — In mathematics, a polynomial sequence is a sequence of polynomials indexed by the nonnegative integers 0, 1, 2, 3, ..., in which each index is equal to the degree of the corresponding polynomial. Examples * Monomials * Rising factorials * Falling … Wikipedia
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Q-difference polynomial — In combinatorial mathematics, the q difference polynomials or q harmonic polynomials are a polynomial sequence defined in terms of the q derivative. They are a type of Brenke polynomial, and generalize the Appell polynomials. See also Sheffer… … Wikipedia
Mahler polynomial — In mathematics, the Mahler polynomials gn(x) are polynomials introduced by Mahler (1930) in his work on the zeros of the incomplete gamma function. Mahler polynomials are given by the generating function Mahler polynomials can be given as… … Wikipedia
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Binomial type — In mathematics, a polynomial sequence, i.e., a sequence of polynomials indexed by { 0, 1, 2, 3, ... } in which the index of each polynomial equals its degree, is said to be of binomial type if it satisfies the sequence of identities:p n(x+y)=sum… … Wikipedia
Appell sequence — In mathematics, an Appell sequence, named after Paul Émile Appell, is any polynomial sequence { p n ( x )} n = 0, 1, 2, ... satisfying the identity:{d over dx} p n(x) = np {n 1}(x),and in which p 0( x ) is a non zero constant.ExamplesAmong the… … Wikipedia
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Umbral calculus — In mathematics before the 1970s, the term umbral calculus was understood to mean the surprising similarities between otherwise unrelated polynomial equations, and certain shadowy techniques that can be used to prove them. These techniques were… … Wikipedia
Pochhammer symbol — In mathematics, the Pochhammer symbol introduced by Leo August Pochhammer is the notation (x)n, where n is a non negative integer. Depending on the context the Pochhammer symbol may represent either the rising factorial or the falling factorial… … Wikipedia
