On an extension of kummer-type II transformation
Künye
Rakha, M. A. & Rathie, A. K. (2014). On an extension of kummer-type II transformation. TWMS Journal of Applied and Engineering Mathematics, 4(1), 80-85.Özet
In the theory of hypergeometric and generalized hypergeometric series, Kummer’s type I and II transformations play an important role. In this short research paper, we aim to establish the explicit expression of e? x/2 2F2 [a, d + n; x 2a + n, d;] for n = 3. For n = 0, we have the well known Kummer’s second transformation. For n = 1, the result was established by Rathie and Pogany [12] and later on by Choi and Rathie[2]. For n = 2, the result was recently established by Rakha, et al. [10]. The result is derived with the help of Kummer’s second transformation and its contiguous results recently obtained by Kim, et. al.[4]. The result established in this short research paper is simple, interesting, easily established and may be potentially useful.
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1Bağlantı
http://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/2520http://jaem.isikun.edu.tr/web/index.php/archive/81-vol4no1/104
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