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Certain classes of analytic functions defined by fractional q-calculus operator

   | Sep 10, 2018

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[1] Al-Oboudi, On univalent functions defined by a generalized Sǎlǎgean operator, Int. J. Math. Sci., (25-28) 2004, 1429–1436.10.1155/S0161171204108090Search in Google Scholar

[2] O. Altintas and S. Owa, On subclasses of univalent functions with negative coefficients, Pusam Kyongnam Math.J., 4 (1988), 41–56.Search in Google Scholar

[3] S. D. Bernardi, Convex and starlike univalent functions, Transactions of the Amer. Math. Soc., 135 (1969), 429–446.10.1090/S0002-9947-1969-0232920-2Search in Google Scholar

[4] G. Gasper and M. Rahman, Basic Hypergeometric Series of Encyclopedia of Mathematics and Its Applications, Cambridge University Press, Cambridge, Mass, USA, 1990.Search in Google Scholar

[5] F. H. Jackson, On q-functions and a certain difference operator, Transactions of the Royal Society of Edinburgh, 46 (2) (1909), 253–281.10.1017/S0080456800002751Search in Google Scholar

[6] A. O. Mostafa, A study on starlike and convex properties for hypergeometric functions, JIPAM, 10 (3) (2009), 8 pp.Search in Google Scholar

[7] S. D. Purohit and R. K. Raina, Certain subclasses of analytic functions associated with fractional q-calculus operators, Mathematica Scandinavica., 109 (1) (2011), 55–70.10.7146/math.scand.a-15177Search in Google Scholar

[8] N. Ravikumar, L. Dileep and S. Latha, A note on Al-oboudi type functions, Journal of Rajastan acad.of phy. sci., 9 (2) (2010), 155–164.Search in Google Scholar

[9] G. S. Sălăgean, Subclasses of univalent functions, Lecture Notes in Mathe. Springer-Verlag, 2013 (1983), 362–372.10.1007/BFb0066543Search in Google Scholar

eISSN:
2066-7752
Language:
English
Publication timeframe:
2 times per year
Journal Subjects:
Mathematics, General Mathematics