• Title/Summary/Keyword: extended

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Testing of Extended PLR Grammars (확장된 PLR 문법의 테스팅)

  • Lee, Gyung-Ok
    • Journal of KIISE:Software and Applications
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    • v.37 no.1
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    • pp.51-53
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    • 2010
  • Extended PLR grammars are a large subclass of LR grammars and have good property of LL grammars. On the other hand, a testing algorithm of extended PLR grammars has not been given. The paper presents an algorithm for the testing of extended PLR grammars.

(f,2)-ROTATIONAL EXTENDED STEINER TRIFLE SYSTEMS WITH f = 2 AND f = 3

  • Cho, Chung-Je
    • Journal of the Korean Mathematical Society
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    • v.39 no.4
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    • pp.621-651
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    • 2002
  • An extended Steiner triple system of order v, denoted by ESTS(v), is said to be (f, k)-rotational if it admits an automorphism consisting of exactly f fixed elements and k cycles of length (equation omitted). In this paper, we obtain a necessary and sufficient condition for the existence of (f,2)-rotational extended Steiner triple systems with f=2 and f=3.

A Theoretical Study on the Boiling Heat Transfer Performance of Tubes with Extended Surfaces (확대 전열관의 비등열전달에 관한 이론적 연구)

  • Jho, S.G.
    • Solar Energy
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    • v.19 no.2
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    • pp.45-56
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    • 1999
  • The performance of vertical and horizontal tubes with extended surface of rectangular and triangular cross section was investigated theoretically for boiling heat transfer. A simple method for numerical program assuming one-dimensional heat flow was used to predict the performance of these extended surface tubes. The object of this study was to predict the effects of the height, thickness, numbers and, clearance of the extended surface on boiling heat transfer. The results showed that extended surfaces are quite effective as compared to plane surfaces especially near the bum-out point and to promote heat flux in boiling heat transfer.

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GENERALIZATION OF EXTENDED BETA FUNCTION, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS

  • Lee, Dong-Myung;Rathie, Arjun K.;Parmar, Rakesh K.;Kim, Yong-Sup
    • Honam Mathematical Journal
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    • v.33 no.2
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    • pp.187-206
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    • 2011
  • The main object of this paper is to present generalization of extended beta function, extended hypergeometric and confluent hypergeometric function introduced by Chaudhry et al. and obtained various integral representations, properties of beta function, Mellin transform, beta distribution, differentiation formulas transform formulas, recurrence relations, summation formula for these new generalization.

INEQUALITIES OF EXTENDED (p, q)-BETA AND CONFLUENT HYPERGEOMETRIC FUNCTIONS

  • Mubeen, Shahid;Nisar, Kottakkaran Sooppy;Rahman, Gauhar;Arshad, Muhammad
    • Honam Mathematical Journal
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    • v.41 no.4
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    • pp.745-756
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    • 2019
  • In this paper, we establish the log convexity and Turán type inequalities of extended (p, q)-beta functions. Likewise, we present the log-convexity, the monotonicity and Turán type inequalities for extended (p, q)-confluent hypergeometric function by utilizing the inequalities of extended (p, q)-beta functions.

AN EXTENSION OF THE WHITTAKER FUNCTION

  • Choi, Junesang;Nisar, Kottakkaran Sooppy;Rahman, Gauhar
    • Communications of the Korean Mathematical Society
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    • v.36 no.4
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    • pp.705-714
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    • 2021
  • The Whittaker function and its diverse extensions have been actively investigated. Here we aim to introduce an extension of the Whittaker function by using the known extended confluent hypergeometric function 𝚽p,v and investigate some of its formulas such as integral representations, a transformation formula, Mellin transform, and a differential formula. Some special cases of our results are also considered.