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Generalized Bazilevic and Related Functions

Thesis Info

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Author

Raza, Mohsan

Supervisor

Khalid Inayat Noor

Program

PhD

Institute

COMSATS University Islamabad

City

Islamabad

Province

Islamabad.

Country

Pakistan

Thesis Completing Year

2012

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/handle/123456789/1561

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676726258557

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In this thesis, we define and analyze some new classes related with generalized Bazilevic functions. We use different techniques and tools to introduce these classes including Robertson functions, integral operator, convolution operator, real and the complex order and differential subordination. These classes are thoroughly analyzed by studying their coefficient bounds, arc length problem, coefficient difference problem, integral representation, inclusion results, radius problems, maximum value of the modulus, the rate of Hankel determinant and Fekete Szego inequality of one of our defined class. We show that the class of generalized Bazilevic function is preserved under the Bernardi integral operator. The study of special cases for the different choices of parameter is also a part of our work. We establish a sound connection of our proved work with already existing results available in literature.
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مرزا سلطان احمد

مرزا سلطان احمد
افسوس ہے کہ اعظم گڑھ کی ممتاز مقبول شخصیت مرزا سلطان احمد صاحب رٹائر ممبر بورڈ آف ریونیو نے طویل علالت کے بعد گزشتہ ۱۷؍ فروری کو انتقال کیا وہ پرانے علیگ اور اپنے زمانہ کے لائق ترین عہدہ داروں میں تھے، اپنی قابلیت سے ڈپٹی کلکٹری سے کلکٹری اور بورڈ کی ممبری تک ترقی کی اور جہاں رہے اپنی دیانتداری اور شرافت سے مقبول و نیک نام رہے، بڑے عہدہ داروں میں ایسے شریف اور خلیق انسان کم دیکھنے میں آئے ہیں، ان کا خمیر ہی اخلاق و شرافت سے گوندھا گیا تھا، ادنی و اعلیٰ ہر شخص کے ساتھ ان کا اخلاق یکساں تھا، ہر ملنے والے کے ساتھ کوئی نہ کوئی ایسی خصوصیت ضرور برتتے تھے جس سے اس کو یہ محسوس ہوتا کہ وہ اس کے ساتھ خاص تعلق رکھتے ہیں۔
بڑے وضعدار، فیاض اور مہمان نواز تھے جس سے جس قسم کے تعلقات تھے، اس کو عمر بھر نباہا، ملازمت کے زمانہ میں ان کا دستر خوان بڑا وسیع اور گھر مستقل مہمان خانہ تھا، ان کے اعزہ و احباب میں سے کوئی نہ کوئی ان کے یہاں مستقل مقیم رہتا تھا اور جس کو ضرورت ہوتی اس کی نقدی سے بھی مدد کرتے تھے، ہر حاجت مند کی مدد کے لیے ہر وقت تیار رہتے تھے اور اس کے لیے ایسے کام کر گزرتے تھے جس کی ہمت ہر شخص نہیں کرسکتا، وہ بڑے تنخواہ دار تھے لیکن جو کچھ کمایا سب صرف کردیا، اعظم گڑھ میں دو ہی ایسے شخص تھے جنھوں نے بہت پیدا کیا، مگر اپنے بعد کچھ نہیں چھوڑا، ایک مرزا صاحب، دوسرے اقبال سہیل مرحوم ملازمت سے ریٹائر ہونے کے بعد حکومت نے ان کے سامنے پبلک سروس کمیشن کی ممبری پیش کی، مگر انھوں نے وطن چھوڑنا پسند نہ کیا اور اعظم...

Academic Research on Non- Muslim Religious Minorities Content analysis of the Research papers from a Pakistani Perspective

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Screening and Molecular Identification of Chloroquine Resistant Genes in Plasmodium Falciparum from Muzaffargarh, Pakistan

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