Some new results for the multivariable Humbert polynomials

In: Mathematica Slovaca, vol. 64, no. 6

Rabia Aktaş

Detaily:

Rok, strany: 2014, 1437 - 1450

Kľúčové slová:

Humbert polynomials, Chan-Chyan-Srivastava multivariable polynomials, Lagrange-Hermite multivariable polynomials, Erkus-Srivastava multivariable polynomials, integral representation, recurrence relation

DOI: https://doi.org/10.2478/s12175-014-0285-8

O článku:

In this paper, we present some miscellaneous properties of the multivariable Humbert polynomials whose special cases include some well-known multivariable polynomials such as Chan-Chyan-Srivastava, Lagrange-Hermite and Erkus-Srivastava multivariable polynomials. We give recurrence relations, addition formula and integral representation for them. Then, we obtain some partial differential equations for the products of the multivariable Humbert polynomials and some other multivariable polynomials. Furthermore, some special cases of the results presented in this study are also indicated.

Ako citovať:

ISO 690:

Aktaş, R. 2014. Some new results for the multivariable Humbert polynomials. In Mathematica Slovaca, vol. 64, no.6, pp. 1437-1450. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0285-8

APA:

Aktaş, R. (2014). Some new results for the multivariable Humbert polynomials. Mathematica Slovaca, 64(6), 1437-1450. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0285-8

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