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The Australian Journal of Mathematical Analysis and Applications
ISSN 1449-5910 |
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Paper's Title:
On Some Ramanujan's Schläfli Type Modular Equations
Author(s):
K. R. Vasuki
Department of Mathematics, Acharya Institute of Technology, Soldevanahalli,
Chikkabanavara (Post), Hesaragatta Main Road, Bangalore-560 090,
INDIA.
vasuki_kr@hotmail.com
Abstract:
In this paper, we give new proof of
certain Ramanujan-Schläfli modular equations. We also obtain a new modular
equation of degree 23.
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
Department of Mathematics,
Maharani's Science College for Women,
J. L. B. Road, Mysore-570 001,
INDIA
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.
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.
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