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2017, vol. 21, br. 1, str. 51-60
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Harmonic starlikeness and convexity of integral operators generated by Poisson distribution series
(naslov ne postoji na srpskom)
Sažetak
(ne postoji na srpskom)
The purpose of the present paper is to establish connections between various subclasses of harmonic univalent functions by applying certain integral operator involving the Poisson distribution series. To be more precise, we investigate such connections with harmonic starlike and harmonic convex mappings in the plane.
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Reference
|
1
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Ahuja, O.P. (2005) Planar harmonic univalent and related mappings. J. Inequal. Pure Appl. Math. Art., 6 (4): 1-18; 122
|
|
Ahuja, Om. P. (2009) Harmonic starlikeness and convexity of integral operators generated by hypergeometric series. Integral Transforms and Special Functions, 20(8): 629-641
|
1
|
Avci, Y., Zlotkiewicz, E. (1990) On harmonic univalent mappings. Ann. Univ. Mariae Curie-sklodowska, Sect. A, 44, pp. 1-7
|
3
|
Clunie, J., Sheil-Small, T. (1984) Harmonic univalent functions. Ann. Acad. Sci. Fenn. Ser. A I Math., 9: 3
|
2
|
Deepmala (2014) A Study on Fixed Point Theorems for Nonlinear Contractions and its Applications. India: Ravishankar Shukla University, Raipur, Chhatisgarh, Ph. D. Thesis
|
|
Deepmala, G.R.B., Mishra, V.N. (2016) Local and global results for modified Szasz-Mirakjan operators. Math. Method. Appl. Sci, DOI: 10.1002/mma.4171
|
1
|
Duren, P. (2004) Harmonic mappings in the plane. Cambridge: Cambridge University Press
|
3
|
Jahangiri, J.M. (1999) Harmonic functions starlike in the unit disk. Journal of Mathematical Analysis and Applications, 235 (2), pp. 470-477
|
3
|
Mishra, L.N. (2017) On existence and behavior of solutions to some nonlinear integral equations with Applications. Silchar, India: Assam National Institute of Technology, Ph. D. Thesis
|
2
|
Mishra, V.N. (2007) Some Problems on Approximations of Functions in Banach Spaces. India: Indian Institute of Technology, Roorkee, Uttarakhand, Ph. D. Thesis
|
|
Mishra, V., Khatri, K., Mishra, L., Deepmala, N. (2013) Inverse result in simultaneous approximation by Baskakov-Durrmeyer-Stancu operators. Journal of Inequalities and Applications, 2013(1): 586
|
|
Porwal, S. (2014) An Application of a Poisson Distribution Series on Certain Analytic Functions. Journal of Complex Analysis, 2014: 1-3
|
|
Porwal, S. (2014) Harmonic starlikeness and convexity of integral operators generated by generalized bessel functions. Acta Mathematica Vietnamica, 39(3): 337-346
|
|
Porwal, S. (2013) Mapping properties of generalized bessel functions on some subclasses of univalent functions. Analele Universitatii Oradea Fasc. Matematica, XX(2), 51-60
|
|
Sharma, A.K., Porwal, S., Dixit, K.K. (2013) Class mappings properties of convolutions involving certain univalent functions associated with hypergeometric functions. Electronic J. Math. Anal. Appl., 1(2): 326-333
|
2
|
Silverman, H. (1998) Harmonic Univalent Functions with Negative Coefficients. Journal of Mathematical Analysis and Applications, 220(1): 283-289
|
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Srivastava, D., Porwal, S. (2015) Some sufficient conditions for Poisson distribution series associated with conic regions. Int. J. Advanced Technology in Enginering Sci, 3(1): 229-236
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