Special Issue "q-Series and Related Topics in Special Functions and Analytic Number Theory"
A special issue of Axioms (ISSN 2075-1680).
Deadline for manuscript submissions: closed (31 October 2012)
Prof. Dr. Hari M. Srivastava
Department of Mathematics and Statistics, University of Victoria, P.O. Box 3060 STN CSC, Victoria, B.C. V8W 3R4, Canada
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
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
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. Papers will be published continuously (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are refereed through a peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed Open Access quarterly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. For the first couple of issues the Article Processing Charge (APC) will be waived for well-prepared manuscripts. English correction and/or formatting fees of 250 CHF (Swiss Francs) will be charged in certain cases for those articles accepted for publication that require extensive additional formatting and/or English corrections.
- 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
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| Download PDF Full-text (144 KB)
Article: The Cranks for 5-Core Partitions
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| Download PDF Full-text (288 KB)
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| Download PDF Full-text (158 KB)
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| Download PDF Full-text (164 KB)
Article: Some Modular Relations Analogues to the Ramanujan’s Forty Identities with Its Applications to Partitions
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| Download PDF Full-text (291 KB)
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| Download PDF Full-text (170 KB)
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| Download PDF Full-text (207 KB)
The below list represents only planned manuscripts. Some of these manuscripts have not been received by the Editorial Office yet. Papers submitted to MDPI journals are subject to peer-review.
Type of Paper: Article
Title: Golden Ratio and a Ramanujan-type integral
Authors: Hei-Chi Chan
Affiliation: Department of Mathematical Sciences, University of Illinois at Springfield (UIS)
Abstract: In this paper, we evaluate a Ramanujan-type integral formula. The result can be expressed in terms of the Golden Ratio. Our evaluation is based on several beautiful formulas discovered by Ramanujan.
Type of Paper: Article
Title: The Generalized Euler Distribution Truncated to Support r, r+1, r+2, . . .
Author: Adrienne Kemp
Affniation: School of Mathematical and Computational Sciences, University of St. Andrews, North Haugh, St. Andrews , Fife, KY16 9SS, UK
Abstract: The paper studies structural and Markov process models for the generalized Euler distribution truncated to support r, r+1, r+2, . . . . Its use in hurdle models is described. Moment properties are obtained.
Last update: 18 October 2012