Special Issue "q-Series and Related Topics in Special Functions and Analytic Number Theory"

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A special issue of Axioms (ISSN 2075-1680).

Deadline for manuscript submissions: closed (31 October 2012)

Special Issue Editor

Guest Editor
Prof. Dr. Hari M. Srivastava
Professor Emeritus, Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada
Website: http://www.math.uvic.ca/faculty/harimsri
E-Mail: harimsri@math.uvic.ca
Interests: real and complex analysis; fractional calculus and its applications; integral equations and transforms; higher transcendental functions and their applications; q-Series and q-Polynomials; analytic number theory, Analytic and Geometric Inequalities, Probability and Statistics, Inventory Modelling and Optimization

Special Issue Information

Dear Colleagues,

Basic (or q-) series and basic (or q-) polynomials are known to occur frequently in many diverse fields of mathematical and physical sciences. The recent overwhelming contributions toward the Rogers-Ramanujan, Jacobi's Triple-Product and Macdonald Identities, Mock Theta Functions, Rogers-Ramanujan Continued Fractions, and so on, together with the recent developments involving such basic (or q-) functions of Analytic Number Theory as (for example) the q-Zeta and related functions, cannot be over-emphasized. Thus, naturally, publication of a Special Issue of Axioms featuring invited articles in these and other related areas, especially in the year 2012 in which the world is celebrating the 125th birth anniversary of Srinivasa Ramanujan (1887-1920), would be a rather welcome and important event.

Prof. Dr. Hari M. Srivastava
Guest Editor

Keywords

  • q-series and q-polynomials
  • Rogers-Ramanujan continued fractions
  • Rogers-Ramanujan identities
  • q-hypergeometric functions
  • q-gamma and q-beta functions
  • Jacobi's triple-product identities
  • q-Jacobi polynomials
  • q-Laguerre polynomials
  • q-Hermite polynomials
  • q-Wilson polynomials

Published Papers (8 papers)

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Displaying article 1-8
p. 404-434
by , ,  and
Axioms 2013, 2(3), 404-434; doi:10.3390/axioms2030404
Received: 28 May 2013; in revised form: 4 June 2013 / Accepted: 3 July 2013 / Published: 23 July 2013
Show/Hide Abstract | Cited by 1 | PDF Full-text (368 KB)
p. 85-99
by
Axioms 2013, 2(2), 85-99; doi:10.3390/axioms2020085
Received: 28 February 2013; in revised form: 22 March 2013 / Accepted: 3 April 2013 / Published: 11 April 2013
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p. 58-66
by
Axioms 2013, 2(1), 58-66; doi:10.3390/axioms2010058
Received: 1 November 2012; in revised form: 2 March 2013 / Accepted: 5 March 2013 / Published: 20 March 2013
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p. 20-43
by  and
Axioms 2013, 2(1), 20-43; doi:10.3390/axioms2010020
Received: 1 November 2012; in revised form: 22 January 2013 / Accepted: 28 January 2013 / Published: 18 February 2013
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p. 10-19
by ,  and
Axioms 2013, 2(1), 10-19; doi:10.3390/axioms2010010
Received: 21 November 2012; in revised form: 28 January 2013 / Accepted: 31 January 2013 / Published: 8 February 2013
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p. 395-403
by
Axioms 2012, 1(3), 395-403; doi:10.3390/axioms1030395
Received: 30 October 2012; in revised form: 26 November 2012 / Accepted: 28 November 2012 / Published: 7 December 2012
Show/Hide Abstract | Cited by 3 | PDF Full-text (158 KB)
p. 372-383
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Axioms 2012, 1(3), 372-383; doi:10.3390/axioms1030372
Received: 7 August 2012; in revised form: 21 September 2012 / Accepted: 26 November 2012 / Published: 3 December 2012
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p. 365-371
by  and
Axioms 2012, 1(3), 365-371; doi:10.3390/axioms1030365
Received: 17 September 2012; in revised form: 9 October 2012 / Accepted: 17 October 2012 / Published: 31 October 2012
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Last update: 25 February 2014

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