Differential Subordinations in Harmonic Mappings

Aydogan, M.; Bshouty, D.; Miller, S. S.; Sakar, F. M.

doi:10.1007/978-3-030-76473-9_2

M. Aydogan¹¹,
D. Bshouty¹²,
S. S. Miller¹³ &
…
F. M. Sakar¹⁴

Part of the book series: Operator Theory: Advances and Applications ((LOLS,volume 286))

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Abstract

Differential subordination of analytic functions proved to be useful in many applications. The book of Miller and Mocanu ((2000) Differential Subordinations. In Theory and applications, monographs and textbooks in pure and applied mathematics, vol 225. Marcel Dekker Inc, New York) sums up most of the advancement in the field and the references to the date of its publication. The theory of harmonic mappings can benefit from this theory. We attempt to discuss some aspects of this generalization.

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References

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Authors and Affiliations

Department of Mathematics, Istanbul Technical University, Istanbul, Turkey
M. Aydogan
Department of Mathematics, Technion, Israel Institute of Technology, Haifa, Israel
D. Bshouty
Department of Mathematics, The College at Brockport, SUNY, Brockport, NY, USA
S. S. Miller
Department of Business Administration, Dicle University, Diyarbakir, Turkey
F. M. Sakar

Authors

M. Aydogan
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D. Bshouty
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S. S. Miller
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F. M. Sakar
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Corresponding author

Correspondence to D. Bshouty .

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Editors and Affiliations

Schmid College of Science & Technology, Chapman University, Orange, CA, USA
Daniel Alpay
Department of Mathematics, Ben-Gurion University of the Negev, Beer Sheva, Israel
Ronen Peretz
Faculty of Sciences, Holon Institute of Technology, Holon, Israel
David Shoikhet
Schmid College of Science and Technology, Chapman University, Orange, CA, USA
Mihaela B. Vajiac

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Aydogan, M., Bshouty, D., Miller, S.S., Sakar, F.M. (2021). Differential Subordinations in Harmonic Mappings. In: Alpay, D., Peretz, R., Shoikhet, D., Vajiac, M.B. (eds) New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative. Operator Theory: Advances and Applications(), vol 286. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-76473-9_2

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DOI: https://doi.org/10.1007/978-3-030-76473-9_2
Published: 21 May 2021
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-76472-2
Online ISBN: 978-3-030-76473-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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