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Study of Various Subfamilies of Holomorphic Mappings Related to the Conic Regions

Thesis Info

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Author

Mahmood, Shahid

Program

PhD

Institute

Abdul Wali Khan University

City

Mardan

Province

KPK

Country

Pakistan

Thesis Completing Year

2016

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/13020/1/Shahid%20Mahmood%28PhD%20Thesis%29.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676727400841

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The aim of present research is to define and analyze some new families of holomorphic mappings related to the conic domain. Different techniques and tools are employed to investigate these families including differential subordination, Bernardi integral operator, Carlson-Shaffer linear operator, hypergeometric mapping, convolution operator, real and the complex orders. These families are extensively explored by studying their coefficient bounds, arc length problems, covering results, integral representations, inclusion results, radius of convexity problems, necessary conditions, growth rate of coefficients, distortion results, subordination results, convolution preserving properties and Fekete-Szegö inequality. Numerous well-known results appear as special cases for the different choices of parameter from our main results. Our investigation also contains a sound relationship between the results presented here with the results which are already available in the literature.
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نواب شوکت خاں

نواب شوکت خاں
دوسرا حادثہ باغپت کے نوجوان رئیس نواب شوکت خاں کی وفات ہے ان کو اﷲ تعالیٰ نے امتیازی و جاہت کے ساتھ دینداری کی دولت سے بھی نوازا تھا، چنانچہ حاجی اور حافظ بھی تھے جس کی مثال جدید تعلیم یافتہ نوجوان رئیسوں میں مشکل سے ملے گی، اسمبلی کے ممبر بھی رہ چکے تھے، سٹی سنٹرل وقف بورڈ کے صدر تھے، اس تعلق سے کئی سال ان سے سابقہ رہا، طبعاً نہایت شریف اور مہذب و متین تھے، عمر چالیس بیالیس سال سے زیادہ نہ تھی، اﷲ تعالیٰ اس نوجوان اور دیندار رئیس کی مغفرت فرمائے۔
(شاہ معین الدین ندوی، فروری ۱۹۶۹ء)

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