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14 relations: Analytic function, Binomial coefficient, Carlson's theorem, Complex analysis, Exponential type, Finite difference, Generalized Appell polynomials, Generating function, Mathematics, Newton polynomial, Polynomial sequence, Ralph P. Boas Jr., Robert Creighton Buck, Sheffer sequence.
Analytic function
In mathematics, an analytic function is a function that is locally given by a convergent power series.
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Binomial coefficient
In mathematics, any of the positive integers that occurs as a coefficient in the binomial theorem is a binomial coefficient.
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Carlson's theorem
In mathematics, in the area of complex analysis, Carlson's theorem is a uniqueness theorem which was discovered by Fritz David Carlson.
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Complex analysis
Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers.
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Exponential type
In complex analysis, a branch of mathematics, a holomorphic function is said to be of exponential type C if its growth is bounded by the exponential function eC|z| for some real-valued constant C as |z| → ∞.
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Finite difference
A finite difference is a mathematical expression of the form.
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Generalized Appell polynomials
In mathematics, a polynomial sequence \ has a generalized Appell representation if the generating function for the polynomials takes on a certain form: where the generating function or kernel K(z,w) is composed of the series and and Given the above, it is not hard to show that p_n(z) is a polynomial of degree n. Boas–Buck polynomials are a slightly more general class of polynomials.
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Generating function
In mathematics, a generating function is a way of encoding an infinite sequence of numbers (an) by treating them as the coefficients of a power series.
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Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
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Newton polynomial
In the mathematical field of numerical analysis, a Newton polynomial, named after its inventor Isaac Newton, is an interpolation polynomial for a given set of data points.
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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.
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Ralph P. Boas Jr.
Ralph Philip Boas Jr. (August 8, 1912 – July 25, 1992) was a mathematician, teacher, and journal editor.
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Robert Creighton Buck
Robert Creighton Buck (30 August 1920 Cincinnati – 1 February 1998 Wisconsin), usually quoted as R. Creighton Buck, was an American mathematician who, with Ralph Boas, introduced Boas–Buck polynomials.
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Sheffer sequence
In mathematics, a Sheffer sequence or poweroid is a polynomial sequence, i.e., a sequence of polynomials in which the index of each polynomial equals its degree, satisfying conditions related to the umbral calculus in combinatorics.
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Difference series, General difference polynomials, Moving difference, Selberg polynomial, Selberg's polynomial, Stirling interpolation polynomial.
