Titlebook: Research Problems in Function Theory; Fiftieth Anniversary Walter K. Hayman,Eleanor F. Lingham Book 2019 Springer Nature Switzerland AG 201

传授知识

Functions in the Unit Disc,artially resolved, there still is a treasure trove of problems for those willing to be bounded by the unit disc. Among them some interesting coefficient problems and some problems about symmetrisation are looking for solutions. Will you be snared by a conjecture of Littlewood?

婴儿

Miscellaneous,all, here are the bits and pieces. The odds and sods. The various and the sundry. A potpourri of questions that don’t quite fit here and don’t quite fit there. A mishmash of scraps and sundries, of leftovers and loose ends. Surely this is the least attractive chapter in which to spend time.

FLUSH

outset

Meromorphic Functions,atics. Other mathematicians will fill it.” Hayman continues: “If the hole means that many new problems were opened up, then this is indeed the case, and I am certain that Nevanlinna theory will continue to solve problems as it has done in the last 50 years.”

crucial

Entire Functions,st areas of research in function theory. Its early history goes back to Weierstrass and Hadamard for the establishment of representations of entire functions . by infinite products, the concepts of the . of ., ., its ., and the . of its zeros, and the relationships amongst these quantities. Moreover

Affluence

Polynomials,polynomial . of degree . in one variable. It is characterised by being a holomorphic self-mapping of the Riemann sphere that is topologically a branched covering of degree . such that . maps to . with local degree ..

DOLT

Functions in the Unit Disc,artially resolved, there still is a treasure trove of problems for those willing to be bounded by the unit disc. Among them some interesting coefficient problems and some problems about symmetrisation are looking for solutions. Will you be snared by a conjecture of Littlewood?

行乞

Miscellaneous,all, here are the bits and pieces. The odds and sods. The various and the sundry. A potpourri of questions that don’t quite fit here and don’t quite fit there. A mishmash of scraps and sundries, of leftovers and loose ends. Surely this is the least attractive chapter in which to spend time.

defuse

RECUR

0941-3502 ading questions in complex analysis.Contains over 1,000 refe.In 1967 Walter K. Hayman published ‘Research Problems in Function Theory’, a list of 141 problems in seven areas of function theory. In the decades following, this list was extended to include two additional areas of complex analysis, upda