Abstract
AbstractThis article aims to introduce a hybrid family of 2-variable Boas–Buck-general polynomials by taking Boas–Buck polynomials as a base with the 2-variable general polynomials. These polynomials are framed within the context of the monomiality principle, and their properties are established. Further, we investigate some members belonging to this family. A general method to express connection coefficients explicitly for the Boas–Buck general polynomial sets is presented. Carlitz theorem for mixed generating functions is also extended to these polynomials. The shapes are shown and zeros are computed for these polynomials using Mathematica software.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference23 articles.
1. Khan, S., Raza, N.: General-Appell polynomials within the context of monomiality principle. Int. J. Anal. 2013, Article ID 328032 (2013)
2. Gould, H.W., Hopper, A.T.: Operational formulas connected with two generalizations of Hermite polynomials. Duke Math. J. 29(1), 51–63 (1962)
3. Dattoli, G., Lorenzutta, S., Mancho, A.M., Torre, A.: Generalized polynomials and associated operational identities. J. Comput. Appl. Math. 108(1–2), 209–218 (1999)
4. Dattoli, G., Migliorati, M., Srivastava, H.M.: A class of Bessel summation formulas and associated operational methods. Fract. Calc. Appl. Anal. 7(2), 169–176 (2004)
5. Bretti, G., Ricci, P.E.: Multidimensional extensions of the Bernoulli and Appell polynomials. Taiwan. J. Math. 8(3), 415–428 (2004)
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