scholarly journals Correction to: Hypergeometric Polynomials, Hyperharmonic Discrete and Continuous Expansions: Evaluations, Interconnections, Extensions

2021 ◽  
pp. C1-C1
Author(s):  
Cecilia Coletti ◽  
Federico Palazzetti ◽  
Roger W. Anderson ◽  
Vincenzo Aquilanti ◽  
Noelia Faginas-Lago ◽  
...  
Keyword(s):  
Hypergeometric Polynomials

scholarly journals A General Family of q-Hypergeometric Polynomials and Associated Generating Functions

Mathematics ◽  
2021 ◽  
Vol 9 (11) ◽  
pp. 1161
Author(s):  
Hari Mohan Srivastava ◽  
Sama Arjika
Keyword(s):  
Generating Function ◽  
Generating Functions ◽  
Hypergeometric Functions ◽  
Additional Parameter ◽  
Physical Sciences ◽  
General Family ◽  
Hypergeometric Polynomials

Basic (or q-) series and basic (or q-) polynomials, especially the basic (or q-) hypergeometric functions and the basic (or q-) hypergeometric polynomials are studied extensively and widely due mainly to their potential for applications in many areas of mathematical and physical sciences. Here, in this paper, we introduce a general family of q-hypergeometric polynomials and investigate several q-series identities such as an extended generating function and a Srivastava-Agarwal type bilinear generating function for this family of q-hypergeometric polynomials. We give a transformational identity involving generating functions for the generalized q-hypergeometric polynomials which we have introduced here. We also point out relevant connections of the various q-results, which we investigate here, with those in several related earlier works on this subject. We conclude this paper by remarking that it will be a rather trivial and inconsequential exercise to give the so-called (p,q)-variations of the q-results, which we have investigated here, because the additional parameter p is obviously redundant.

scholarly journals Zeros of the Hypergeometric Polynomials F(−n, b; −2n; z)

2001 ◽  
Vol 110 (1) ◽  
pp. 74-87 ◽  
Author(s):  
Kathy Driver ◽  
Manfred Möller
Keyword(s):  
Hypergeometric Polynomials

On the zeros of a class of generalized hypergeometric polynomials

2015 ◽  
Vol 253 ◽  
pp. 151-158
Author(s):  
Cleonice F. Bracciali ◽  
Juan José Moreno-Balcázar
Keyword(s):  
Hypergeometric Polynomials

scholarly journals Bilateral Generating Functions Involving Generalized Hypergeometric Polynomials of Two Variables

2017 ◽  
Vol 10 (12) ◽  
pp. 1-5
Author(s):  
P. L. Rama Kameswari ◽  
P. L. Rama Kameswari ◽  
V. S. Bhagavan ◽  
◽  
◽  
...  
Keyword(s):  
Generating Functions ◽  
Hypergeometric Polynomials ◽  
Bilateral Generating Functions

scholarly journals Properties of the zeros of generalized basic hypergeometric polynomials

2015 ◽  
Vol 56 (11) ◽  
pp. 112701 ◽  
Author(s):  
Oksana Bihun ◽  
Francesco Calogero
Keyword(s):  
Hypergeometric Polynomials
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