Bieberbach’s conjecture, the de Branges and Weinstein functions and the Askey-Gasper inequality
نویسندگان
چکیده
منابع مشابه
Bieberbach Conjecture, The de Branges and Weinstein Functions And the Askey-Gasper Inequality
In this talk I will present the conjecture and the main ideas that led to the proof. The proof of Lenard Weinstein (1991) [4] follows, and I will show how the two proofs are interrelated. Both proofs depend on polynomial systems that are directly related with the Koebe function. At this point algorithms of computer algebra come into the play, and I will give a computer demonstration how importa...
متن کاملBieberbach’s conjecture, the de Branges and Weinstein functions and the Askey-Gasper inequality
The Bieberbach conjecture about the coefficients of univalent functions of the unit disk was formulated by Ludwig Bieberbach in 1916 [4]. The conjecture states that the coefficients of univalent functions are majorized by those of the Koebe function which maps the unit disk onto a radially slit plane. The Bieberbach conjecture was quite a difficult problem, and it was surprisingly proved by Lou...
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In his 1984 proof of the Bieberbach and Milin conjectures de Branges used a positivity result of special functions which follows from an identity about Jacobi polynomial sums that was found by Askey and Gasper in 1973, published in 1976. In 1991 Weinstein presented another proof of the Bieberbach and Milin conjectures, also using a special function system which (by Todorov and Wilf) was realize...
متن کاملWeinstein’s Functions and the Askey-Gasper Identity
In his 1984 proof of the Bieberbach and Milin conjectures de Branges used a positivity result of special functions which follows from an identity about Jacobi polynomial sums that was found by Askey and Gasper in 1973, published in 1976. In 1991 Weinstein presented another proof of the Bieberbach and Milin conjectures, also using a special function system which (by Todorov and Wilf) was realize...
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the study reflected in this thesis aims at finding out relationships between critical thinking (ct), and the reading sections of tofel and ielts tests. the study tries to find any relationships between the ct ability of students and their performance on reading tests of tofel and academic ielts. however, no research has ever been conducted to investigate the relationship between ct and the read...
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ژورنال
عنوان ژورنال: The Ramanujan Journal
سال: 2007
ISSN: 1382-4090,1572-9303
DOI: 10.1007/s11139-006-0244-2