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Tamsui Oxford Journal of Information and Mathematical Sciences Scopus
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| 篇名 | Some New Modular Equations and their Applications |
|---|---|
| 卷期 | 28:4 |
| 作者 | M. S. Mahadeva Naika 、 S. Chandankumar |
| 頁次 | 437-469 |
| 關鍵字 | Modular equation 、 Theta-function 、 Continued fraction |
| 出刊日期 | 201211 |
中文摘要
英文摘要
In this paper, we establish several new modular equations of degree two by using Ramanujan's modular equations. We obtain several general formulas for the explicit evaluations of ratios of Ramanujan's theta functions ψ: We also establish some new explicit evaluations for Ramanujan Gollnitz Gordon continued fraction, Ramanujan Selberg continued fraction and a continued fraction of Eisenstein.
本卷期文章目次
- On a Type of Concircular ψ-recurrent Trans-Sasakian Manifolds / Dipankar Debnath
- Approximation of Entire Functions of Two Complex Variables Over Jordan Domains / G. S. Srivastava、Ramesh Ganti
- Euler's Number and Some Means / Sanjay Kumar Khattri、Alfred Witkowski
- Inclusion Relations for Subclasses of Analytic Functions De ned by Integral Operator Associated with the Hurwitz-Lerch Zeta Function / N. M. Mustafa and M. Darus
- Majorization Properties for Subclass of Analytic p-Valent Functions De ned by the Generalized Hypergeometric Function / R. M. El-Ashwah