A series transformation formula and related polynomials.
Boyadzhiev, Khristo N. (2005)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “A symbolic operator approach to power series transformation-expansion formulas.”
A series transformation formula and related polynomials.
Fibonacci polynomials of order k, multinomial expansions and probability.
Philippou, Andreas N., Georghiou, Costas, Philippou, George N. (1983)
International Journal of Mathematics and Mathematical Sciences
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Linearization coefficients for Sheffer polynomial sets via lowering operators.
Ben Cheikh, Y., Chaggara, H. (2006)
International Journal of Mathematics and Mathematical Sciences
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Derivatives of orthonormal polynomials and coefficients of Hermite-Fejér interpolation polynomials with exponential-type weights.
Jung, H.S., Sakai, R. (2010)
Journal of Inequalities and Applications [electronic only]
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Some classes of numbers and derivatives.
Janjić, Milan (2009)
Journal of Integer Sequences [electronic only]
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On -operators and summation of some -series.
Guesmi, Sana, Fitouhi, Ahmed (2010)
International Journal of Mathematics and Mathematical Sciences
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Extended finite operator calculus-an example of algebraization of analysis
Andrzej Kwaśniewski, Ewa Borak (2004)
Open Mathematics
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“A Calculus of Sequences” started in 1936 by Ward constitutes the general scheme for extensions of classical operator calculus of Rota-Mullin considered by many afterwards and after Ward. Because of the notation we shall call the Ward's calculus of sequences in its afterwards elaborated form-a ψ-calculus. The ψ-calculus in parts appears to be almost automatic, natural extension of classical operator calculus of Rota-Mullin or equivalently-of umbral calculus of Roman and Rota. At the...
Riordan arrays, Sheffer sequences and “orthogonal” polynomials.
Della Riccia, Giacomo (2008)
Journal of Integer Sequences [electronic only]
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An introduction to finite fibonomial calculus
Ewa Krot (2004)
Open Mathematics
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This is an indicatory presentation of main definitions and theorems of Fibonomial Calculus which is a special case of ψ-extented Rota's finite operator calculus [7].
Shape-preserving multivariate polynomial approximation in .
Gal, Ciprian S., Gal, Sorin G. (2004)
International Journal of Mathematics and Mathematical Sciences
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On polynomials of Sheffer type arising from a Cauchy problem.
Meredith, D.G. (2003)
International Journal of Mathematics and Mathematical Sciences
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Riordan arrays, orthogonal polynomials as moments, and Hankel transforms.
Barry, Paul (2011)
Journal of Integer Sequences [electronic only]
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On the inequality of P. Turán for Legendre polynomials.
Constantinescu, Eugen (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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