Magazine article from our research archive:
|
|
On a second order mock theta functions *.(Report)
- Article from:
-
Tamsui Oxford Journal of Mathematical Sciences
- Article date:
-
May 1, 2008
- Author:
- Srivastava, Bhaskar
|
Copyright informationCOPYRIGHT 2008 Aletheia University. This material is published under license from the publisher through the Gale Group, Farmington Hills, Michigan. All inquiries regarding rights should be directed to the Gale Group. (Hide copyright information)
|
In this paper we consider a second order mock theta function, recently given by Hikami. We define a generalized function and show it is a q [F.sub.q]-function and give its integral representation and multibasic expansion. We also show that this mock theta function can be obtained by performing a left half-shift transformation on a certain theta series.
Keywords and Phrases: Mock theta functions, Basic hypergeometric series.
1. Introduction
Recently Hikami (3) introduced the q-series[D.sub.5][q],
[D.sub.5][q] = [[infinity].summation over.(n=0)]][(-q;q).sub.n][q.sup.n]/(q;[q.sup.2]).sub.n + 1]], where q = [e.sup.2[pi]i[tau]]
in connection with the quantum invariant of ...
|
A brief look at infinity:.(The Home Forum)
The Christian Science Monitor;
September 24, 2002 ;
787 words
......Alan Grier ED: ALL 09/24/2002 -- What is infinity? If the first thing that came to your...then we need to have a little talk. Infinity is not the same thing as bigness. It...no more. As mathematicians define it, infinity is more like a summer vacation that never...
|
|
Functional family: mock theta mystery solved.
Science News;
March 10, 2007 ;
Klarreich, E.;
476 words
......formulas for new functions. He called them mock theta functions because they had some properties...these functions. Since that time, the mock theta functions have cropped up in a surprising...mathematicians have puzzled over just what the 17 mock theta functions have in common. The ...
|
|
CBS keeping close hold on Infinity spin-off.
Broadcasting & Cable;
November 23, 1998 ;
Rathbun, Elizabeth A.;
689 words
......raise up to $3.4 billion for the new Infinity Broadcasting Corp. may not contribute...5 billion promissory note floated to Infinity parent CBS Corp. in September. CBS needed...according to the documents, filed Nov. 12. Infinity is pricing its IPO shares at $19-$22...
|
|
Interview: Author Amir Aczel discusses concepts of infinity
Talk of the Nation Science Friday (NPR);
January 19, 2001 ;
IRA FLATOW;
787 words
......Author Amir Aczel discusses concepts of infinity Host: IRA FLATOW Time: 3:00-4:00 PM IRA FLATOW...ages-old quest to understand the nature of infinity. Now I know you think you know what infinity is, right? A line of numbers or subjects...
|
|
Infinity to Present at EnerCom's Tenth Oil & Gas Conference in Denver.
PR Newswire;
August 2, 2005 ;
454 words
...DENVER, Aug. 2 /PRNewswire-FirstCall/ -- Infinity, Inc. today announced that its management...Center, 1701 California Street, in Denver. Infinity also presented at the August 2004 conference. Infinity's presentation will discuss the Company...
|
|
The mock theta functions.(SCOPE'S scoops)(Brief article)
Science Scope;
April 1, 2007 ;
195 words
......of numerical expressions known as the mock theta functions. Number theorists have struggled...the first time that illustrates what mock theta functions are, and exactly how to derive...work will enable researchers to apply mock theta functions to problems in various fields...
|
|
Infinity stock dips. (Infinity Broadcasting Corp.) (Brief Article)
Broadcasting & Cable;
January 10, 1994 ;
Viles, Peter;
376 words
...Infinity Broadcasting took a financial hit on Wall Street as many...battle with the FCC. Wall Street analysts insisted that Infinity will not suffer long-term financial damage if the company...prospects for near-term acquisitions--a key aspect of Infinity's appeal to investors--clearly were hurt. With the ...
|
|
INFINITY ADDS IMPROVISATION TO DRUG QUEST
The Boston Globe;
July 11, 2005 ;
SCOTT KIRSNER;
787 words
...Steve Holtzman, chief executive of Infinity Pharmaceuticals, sometimes compares the...metaphor even extends to the lunchroom at Infinity's Cambridge headquarters, which is designed...to be tested, as clinical trials for Infinity's first drug, designed to combat an especially...
|
|
INFINITY WILL UNVEIL RESEARCH DEAL WITH NOVARTIS FIRM ALSO TO INVEST IN...
The Boston Globe;
January 5, 2005 ;
Jeffrey Krasner, Globe Staff;
782 words
...Infinity Pharmaceuticals Inc. of Cambridge will today unveil a...Novartis will make a multimillion dollar equity investment in Infinity essentially a bet on the future success of the three-year-o...building on Massachusetts Ave., about a mile and a half from Infinity's Memorial Drive headquarters behind the ...
|
|
Math mystery unlocked.(Headline Science: The latest news in science...
The Science Teacher;
July 1, 2007 ;
194 words
......of numerical expressions known as the mock theta functions. Number theorists have struggled...the first time that illustrates what mock theta functions are, and exactly how to derive...work will enable researchers to apply mock theta functions to problems in various fields...
|
|
Infinity Announces Extension of Amgen Agreement.
PR Newswire;
July 20, 2006 ;
366 words
...CAMBRIDGE, Mass., July 20 /PRNewswire/ -- Infinity Pharmaceuticals Inc. announced today...extended its non-exclusive access to Infinity's collection of diverse, natural product-li...drug candidates it has identified from Infinity's compound collection. Infinity received...
|
|
Infinity Announces Third Quarter 2006 Results and Highlights Recent...
PR Newswire;
November 9, 2006 ;
787 words
......Emerging Phase I Clinical Data for IPI-504, Infinity's Lead Hsp90 Drug Candidate - CAMBRIDGE, Mass., Nov. 9 /PRNewswire-FirstCall/ -- Infinity Pharmaceuticals, Inc. , an innovative...Evidence of biological activity of IPI-504, Infinity's lead anticancer agent, in a Phase I...
|
|
Infinity founders buy control from Seitz.(News)
Plastics News;
May 5, 2008 ;
431 words
......There's been a change in ownership at Infinity Compounding Corp., as founders Carlos...and Carroll now own a majority stake in Infinity, based in Logan Township, near Beckett...remainder of the firm is split among four Infinity employees and Robert Schulz, the longtime...
|
|
Infinity Announces Small Molecule Collaboration With Novartis; -- Unique...
PR Newswire;
January 5, 2005 ;
787 words
...CAMBRIDGE, Mass., Jan. 5 /PRNewswire/ -- Infinity Pharmaceuticals Inc. today announced...small molecules to be synthesized by Infinity using its innovative chemical technology...both companies given the synergy between Infinity's diversity oriented synthesis expertise...
|
|
Infinity, Inc. Announces Cherokee Enhanced Oil Recovery Project.
PR Newswire;
December 16, 1999 ;
658 words
...Infinity to Complete 32 Wells with a Development Option on 5 Offset Leases CHANUTE, Kan., Dec. 15 /PRNewswire/ -- Infinity, Inc., (Nasdaq: IFNY), the largest oilfield services company...begin development in the Cherokee Basin of Eastern Kansas. Infinity will initially drill and complete 32 wells, with a ...
|
See all results.
Or, try our
Advanced Search.
|