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On Some Linear Integral Operators in Geometric Function Theory

Thesis Info

Author

Imran Parvez

Supervisor

Khalida Inayat Noor

Department

Department of Mathematics

Program

BS

Institute

COMSATS University Islamabad

Institute Type

Public

City

Islamabad

Province

Islamabad

Country

Pakistan

Thesis Completing Year

2010

Thesis Completion Status

Completed

Subject

Mathematics

Language

English

Added

2021-02-17 19:49:13

Modified

2023-01-06 19:20:37

ARI ID

1676720729372

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شاہد ذکی

شاہد ذکی
شاہد ذکی(۱۹۷۴ء پ) کا اصل نام شاہد محمود ہے۔ آپ سیالکوٹ کے گائوں گجرال میں پیدا ہوئے۔ آپ نے ایم۔اے انگلش مرے کالج سیالکوٹ سے کیا۔ آپ لیڈر شپ کالج سیالکوٹ میں بطور لیکچرار انگلش تدریسی فر ا ئض سر انجام دے رہے ہیں۔ پروین شاکر اور احمد فراز کو پڑھنے کے بعد شاعری کے شوق میں اضافہ ہوا لیکن اس شوق کو بام عروج تک پہنچانے میں شکیب جلالی کی شاعری نے اہم کردار ادا کیا۔(۱۱۰۹)
’’خوشبو کے تعاقب میں‘‘ شاہد ذکی کا پہلا شعری مجموعہ پنجاب ادبی مرکز گوجرانوالہ نے ۱۹۹۵ء میں شائع کیا۔ دوسرا شعری مجموعہ ’’خوابوں سے خالی آنکھیں‘‘ ہے۔ جسے الحمد پبلی کیشنز لاہور نے ۲۰۰۱ء میں شائع کیا۔ ’’خوابوں سے خوشبو آتی ہے‘‘ شاہد کا تیسرا شعری مجموعہ ہے جسے الحمد پبلی کیشنز نے ۱۹۹۹ء میں شائع کیا۔ شاہد ذکی کا چوتھا شعری مجموعہ ’’سفال میں آگ‘‘ ہم خیال پبلشرز فیصل آباد نے ۲۰۰۷ء میں شائع کیا۔ ان مطبوعہ شعری مجموعوں کے علاوہ شاہد کے پاس شعری سرمایہ مسودات کی صورت میں موجود ہے ۔ جن کا ابھی نام تجویز نہیں کیا گیا ہے۔ کچھ اشعار ملاحظہ ہوں:
میں ہجرائی ہوئی کو بخوں کی جب آواز سنتا ہوں
ترے غم میں میری دھڑکن بڑی بے تاب ہوتی ہے (۱۱۱۰)

دریا کنارے پہ کھڑا سوچ رہا ہوں
دل سوہنی کا تھا کتنا بڑا سوچ رہا ہوں(۱۱۱۱)

ناکام محبت کا سفر کیا ہے نہ پوچھو
اِک لاش ہے جو رہنے کو گھر ڈھونڈ رہی ہے(۱۱۱۲)

تم ذرا روٹھے تو رکنے لگیں سانسیں
سوچتا ہوں کہ بچھڑ جائو گے تو کیا ہوگا؟؟ (۱۱۱۳)

روشنی سرحدوں کے پار بھی پہنچاتا ہوں
ہم وطن اس لیے غدار سمجھتے ہیں مجھے (۱۱۱۴)

وہ جو اس پار ہیں ان کے لیے...

ظاهرة تزويج القاصرات من منظور شرعي

According to traditional-religious-culture the early age marriages are very common custom especially in rural areas. The act of marring girls in early ages is considered to be a good practice in these constituencies; in contrast, the holy Quran has provided some logical guidelines to reject this idea. In the holy Quran “men” are instructed to marry as per their choice, which reveals, it is necessary for a “man” to be adult (Baligh) for marriage. Considering this fact, how it is possible that a man can be permitted to have a non-adult (Nabaligh) life partner? In this regard, marriages between Adult and Non-adult, Non-adult and Non-adult are not permitted because it is against the right of equality. Further, the holy Quran instructs the guardians of the orphans to return them their valuables when reach to the age of Nikah; which reveals that there is a particular standard of age set for Nikah, if it is not so, why the holy Quran has made this bounding for the guardians of the orphans? As per the guidance of the holy Quran, it is clear that Nikah requires both man and women not only to be physically adult/mature but also mentally adult/mature. In this connection, it has been highlighted that Nikah which is a physical contract requires a particular age for man and woman which however cannot be an age of Non-adult.

Intersectional Soft Set Theory Applied to Ordered Semihypergroups

Throughout this thesis, which contains seven chapters, Z will denote an ordered semihypergroup, unless otherwise stated.Chapter one, which is of introductory nature provides basic definitions and reviews some of the background materials which are needed for the subsequent chapters.In chapter two, definition of int-soft subsemihypergroup and int-soft left (resp., right) hyperideals are introduced. Characterizations of different classes (regular, intra-regular, right weakly regular and weakly-regular) ordered semihypergroups in terms of int-soft hyperideals are given. In this respect, discuss the study of semisimple ordered semihypergroups and characterize it in terms of int-soft hyperideals. The notions of convex soft set and critical soft point are also given. Moreover introduce the notions of (?,?)-int-soft hyperideals and their basic properties are discussed in this chapter.In chapter three, give the concept of int-soft interior hyperideals and characterize simple ordered semihypergroups in terms of int-soft interior hyperideals and int-soft hyperideals. Moreover characterize semisimple ordered semihypergroups in terms of int-soft interior hyperideals. Furthermore, introduce the notion of (?,?)-int-soft interior hyperideals of ordered semihypergroups. Finally, introduce the notion of (?,?)-int-soft simple ordered semihypergroups and characterize it in terms of (?,?)-int-soft hyperideals and (?,?)-int-soft interior hyperideals.In chapter four, the notion of int-soft bi-hyperideals is introduced. Moreover give the characterization of (regular, right weakly regular, intra-regular and right weakly regular, intraregular and left weakly regular) ordered semihypergroups in terms of int-soft bi-hyperideals. Furthermore definitions of prime, strongly prime, semiprime, irreducible and strongly irreducible int-soft bi-hyperideals are given. Finally, characterize ordered semihypergroups by the properties of these notions.In chapter five, definition of int-soft generalized bi-hyperideals is given and the related properties are discussed. Furthermore, characterize some classes in terms of int-soft generalized bi-hyperideals.In chapter six, definition of int-soft quasi-hyperideals is given and discuss some basic properties of int-soft quasi-hyperideals. Characterize (weakly regular, intra-regular and left weakly regular) ix ordered semihypergroups in terms of int-soft quasi-hyperideals. Moreover characterize regular, left (resp., right) simple ordered semihypergroups in terms of int-soft quasi-hyperideals.In chapter seven, the notion of int-soft left (resp., right) hyperfilters is introduced. Numerous related properties are investigated. Moreover, define completely prime int-soft hyperideals of ordered semihpergroups. Finally, characterize int-soft hyperfilters in terms of completely prime int-soft hyperideals.