Volume 11, Issue 6
Some New Generating Functions for the Modified Laguerre Polynomials

Nejla Özmen

Adv. Appl. Math. Mech., 11 (2019), pp. 1398-1414.

Published online: 2019-09

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  • Abstract

In this paper, we obtain some new results on bilateral generating functions of the modified Laguerre polynomials. We also get generating function relations between the modified Laguerre polynomials and the generalized Lauricella functions. Some special cases and important applications are also discussed.

  • Keywords

Modified Laguerre polynomials, generating function, multilinear and multilateral generating function, recurrence relations, generalized Lauricella function.

  • AMS Subject Headings

33C45, 33C65

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-11-1398, author = {Özmen , Nejla }, title = {Some New Generating Functions for the Modified Laguerre Polynomials}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2019}, volume = {11}, number = {6}, pages = {1398--1414}, abstract = {

In this paper, we obtain some new results on bilateral generating functions of the modified Laguerre polynomials. We also get generating function relations between the modified Laguerre polynomials and the generalized Lauricella functions. Some special cases and important applications are also discussed.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2018-0267}, url = {http://global-sci.org/intro/article_detail/aamm/13309.html} }
TY - JOUR T1 - Some New Generating Functions for the Modified Laguerre Polynomials AU - Özmen , Nejla JO - Advances in Applied Mathematics and Mechanics VL - 6 SP - 1398 EP - 1414 PY - 2019 DA - 2019/09 SN - 11 DO - http://dor.org/10.4208/aamm.OA-2018-0267 UR - https://global-sci.org/intro/article_detail/aamm/13309.html KW - Modified Laguerre polynomials, generating function, multilinear and multilateral generating function, recurrence relations, generalized Lauricella function. AB -

In this paper, we obtain some new results on bilateral generating functions of the modified Laguerre polynomials. We also get generating function relations between the modified Laguerre polynomials and the generalized Lauricella functions. Some special cases and important applications are also discussed.

Nejla Özmen. (2019). Some New Generating Functions for the Modified Laguerre Polynomials. Advances in Applied Mathematics and Mechanics. 11 (6). 1398-1414. doi:10.4208/aamm.OA-2018-0267
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