Introduces value distribution theory starting with a survey of two Nevanlinna-type main theorems and defect relations for meromorphic mappings from parabolic manifolds into projective spaces. The unicity theory of meromorphic functions or mappings is discussed and the discussion also covers value distribution theory of algebroid functions. Series: Advances in Complex Analysis and its Applications. Num Pages: 467 pages, biography. BIC Classification: PBKD; PBKF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 26. Weight in Grams: 846. . 2003. 2003rd Edition. hardcover. . . . . Books ship from the US and Ireland.

Seller Inventory # V9781402012198

Contact seller

Report this item

Bibliographic Details

Title: Unicity of Meromorphic Mappings
Publisher: Kluwer Academic Publishers
Publication Date: 2003
Language: English
ISBN 10: 1402012195
ISBN 13: 9781402012198
Binding: Hardcover
Condition: New

About this title

Synopsis

For a given meromorphic function I(z) and an arbitrary value a, Nevanlinna's value distribution theory, which can be derived from the well known Poisson-Jensen for� mula, deals with relationships between the growth of the function and quantitative estimations of the roots of the equation: 1 (z) - a = O. In the 1920s as an application of the celebrated Nevanlinna's value distribution theory of meromorphic functions, R. Nevanlinna [188] himself proved that for two nonconstant meromorphic func� tions I, 9 and five distinctive values ai (i = 1,2,3,4,5) in the extended plane, if 1 1- (ai) = g-l(ai) 1M (ignoring multiplicities) for i = 1,2,3,4,5, then 1 = g. Fur� 1 thermore, if 1- (ai) = g-l(ai) CM (counting multiplicities) for i = 1,2,3 and 4, then 1 = L(g), where L denotes a suitable Mobius transformation. Then in the 19708, F. Gross and C. C. Yang started to study the similar but more general questions of two functions that share sets of values. For instance, they proved that if 1 and 9 are two nonconstant entire functions and 8 , 82 and 83 are three distinctive finite sets such 1 1 that 1- (8 ) = g-1(8 ) CM for i = 1,2,3, then 1 = g.

"About this title" may belong to another edition of this title.

Store Description

We carry a comprehensive range of out of print and rare books.

Visit Seller's Storefront

Seller's business information

Kennys Bookshops and Art Galleries Limited
Liosban Industrial Estate, Tuam Road, Galway, GY, Ireland

Sale & Shipping Terms

Terms of Sale

We guarantee the condition of every book as it's described on the Abebooks websites.

If you're dissatisfied with your purchase (Incorrect Book/Not as Described/Damaged) or if the order hasn't arrived, you're eligible for a refund within 30 days of the estimated delivery date.

For any queries please use the contact seller link or send an email to books@kennys.ie

Conor Kenny

Shipping Terms

All books securely packaged. Some books ship from Ireland.

Shipping rates within U.S.A.

Shipping rates within U.S.A.
Order quantity	14 to 20 business days	13 to 14 business days
First item	US$ 10.50	US$ 21.00

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.