Research Article
Year 2017,
Volume: 7, 48 - 55, 19.12.2017
Abstract
In this study, we give new properties of the Konhauser biorthogonal polynomials $Y_{n}^{\alpha }(x;k)$. Various families of multilinear, multilateral generating functions, some special cases and several recurrence relations for these polynomials are obtained.
Keywords
Konhauser Biorthogonal Polynomials generating function multilinear and multilateral generating function
References
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- Srivastava, H. M., Manocha, H. L., A Treatise on Generating Functions, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, 1984.
- Srivastava, H. M., Taşdelen, F., Şekeroğlu, B., Some families of generating functions for the q-Konhauser polynomials, Taiwanese J. Math., 12(3)(2008), 841–850.
- Şekeroğlu, B., Srivastava H.M., Taşdelen, F., Some properties of q-biorthogonal polynomials, J. Math. Anal. Appl., 326(2)(2007), 896–907.
- Taşdelen, F., Çekim, B., Aktaş, R., On a multivariable extension of Jacobi matrix polynomials, Computers and Mathematics with Applications, 61(2011), 2412–2423.
- Varma, S., Tasdelen F., Biorthogonal matrix polynomials related to Jacobi matrix polynomials, Computers & Mathematics with Applications,62(2011), 3663-3668.
Year 2017,
Volume: 7, 48 - 55, 19.12.2017
Abstract
References
- Aktaş, R., Erkuş-Duman, E., The Laguerre polynomials in several variables, Mathematica Slovaca, 63(3)(2013), 531–544.
- Aktaş, R., Erkus-Duman, E., A generalization of the extended Jacobi polynomials in two variables, Gazi University Journal of Science, 28(3)(2015), 503–521.
- Aktaş, R., Taşdelen, F., Yavuz, N. , Bilateral and bilinear generating functions for the eneralized Zernike or disc polynomials, Ars Combinatoria, 108(2013), 389–400.
- Altın A., Erkuş, E. On a multivariable extension of the Lagrange-Hermite polynomials, Integral Transforms and Special Functions, 17(4)(2006), 239–244.
- Erdelyi, A., Magnus, W., Oberhettinger, F., Tricomi, F. G., Higher Transcendental Functions, Vol. III, McGraw–Hill Book Company, New York/Toronto/London, 1955.
- Erkus, E., Srivastava, H. M., A unified presentation of some families of multivariable polynomials, Integral Transforms Spec. Funct., 17(2006), 267–273.
- Gürel, Ö., Aktaş, R., Altın, A., On a family of multivariable polynomials defined through Rodrigues type formula, Journal of Classical Analysis, 4(2)(2014), 167–180.
- Özmen, N., Erkus-Duman, E., Some results for a family of multivariable polynomials, AIP Conf. Proc., 1558(2013), 1124–1127.
- Özmen, N., Erkus-Duman, E., On the Poisson-Charlier polynomials, Serdica Math. J., 41(2015), 457–470.
- Özmen, N., Erkuş-Duman, E., Some families of generating functions for the generalized Cesa´ro polynomials, J. Comput. Anal. Appl., 25(4)(2018), 670–683.
- Srivastava, H. M., Manocha, H. L., A Treatise on Generating Functions, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, 1984.
- Srivastava, H. M., Taşdelen, F., Şekeroğlu, B., Some families of generating functions for the q-Konhauser polynomials, Taiwanese J. Math., 12(3)(2008), 841–850.
- Şekeroğlu, B., Srivastava H.M., Taşdelen, F., Some properties of q-biorthogonal polynomials, J. Math. Anal. Appl., 326(2)(2007), 896–907.
- Taşdelen, F., Çekim, B., Aktaş, R., On a multivariable extension of Jacobi matrix polynomials, Computers and Mathematics with Applications, 61(2011), 2412–2423.
- Varma, S., Tasdelen F., Biorthogonal matrix polynomials related to Jacobi matrix polynomials, Computers & Mathematics with Applications,62(2011), 3663-3668.
There are 15 citations in total.
Details
| Subjects | Engineering |
|---|---|
| Journal Section | Articles |
| Authors | |
| Publication Date | December 19, 2017 |
| Published in Issue | Year 2017 Volume: 7 |