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13: Paper Source PDF document

Paper's Title:

On the Three Variable Reciprocity Theorem and Its Applications

Author(s):

D. D. Somashekara and D. Mamta

Department of Studies in Mathematics,
University of Mysore,
Manasagangotri, Mysore-570 006
India
dsomashekara@yahoo.com 

Department of Mathematics,
The National Institute of Engineering,
Mysore-570 008,
India
mathsmamta@yahoo.com  
 

Abstract:

In this paper we show how the three variable reciprocity theorem can be easily derived from the well known two variable reciprocity theorem of Ramanujan by parameter augmentation. Further we derive some q-gamma, q-beta and eta-function identities from the three variable reciprocity theorem.



1: Paper Source PDF document

Paper's Title:

Some Identities for Ramanujan - Göllnitz - Gordon Continued fraction

Author(s):

M. S. Mahadeva Naika, B. N. Dharmendra and S. Chandan Kumar

Department of Mathematics,
Bangalore University,
Central College Campus,
Bangalore-560 001,
INDIA

msmnaika@rediffmail.com

chandan.s17@gmail.com 

Department of Mathematics,
Maharani's Science College for Women,
J. L. B. Road, Mysore-570 001,
INDIA

dharmamath@rediffmail.com 

Abstract:

In this paper, we obtain certain P--Q eta--function identities, using which we establish identities providing modular relations between Ramanujan-Göllnitz-Gordon continued fraction H(q) and H(q^n) for n= 2, 3, 4, 5, 7, 8, 9, 11, 13, 15, 17, 19, 23, 25, 29 and 55.


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