Resonance of Ramanujan's mathematics, Volume 2

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New Age International, Jan 1, 1996 - Mathematics - 230 pages
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This Volume Is In Continuation Of Vol. I And Contains A Critical And Detailed Appraisal Of Ramanujans Work On Theta Functions And Partial Theta Functions, Mock Theta Functions Of Orders Three, Five, Seven And Six (Formally, Designated As Such By Andrews And Hickerson), Lambert Series And Their Relationship With Elliptic Functions, Mock Theta Functions And Allied Functions.A Characteristic Feature Of The Book Is A Detailed Discussion Of The Still Unsettled Problem Of Defining The Order Of A Mock Theta Function And A Discussion Of The Recently Defined Partial Mock Theta Functions And Their Import On Giving New Information On The Structure And Interrelationships Between Mock Theta Functions Of Certain Classes.

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Contents

Theta Functions Partial Theta Functions and Ramanujan 1 Introduction
1
Ramanujans work on theta functions a brief description
4
Three families of generalised functions associated with mock
8
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