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Bibliographic Remarks
BIBLIOGRAPHIC REMARKS
E i b l i o g r a p h i c c i t a t i o n s are i n c o r p o r a t e d d i r e c t l y i n t o t h e t e x t . T h e r e f o r e w e l i s t h e r e o n l y a few o f t h e s t a n d a r d r e f e r e n c e s where f u r t h e r i n f o r m a t i o n can be found on t h e t o p i c s t r e a t e d i n t h i s book. These a r e a l s o mentioned i n t h e t e x t , b u t p e r h a p s w a r r a n t a s p e c i a l l i s t i n g h e r e as primary s o u r c e s f o r f u r t h e r i n f o r m a t i o n on v a r i o u s o f t h e t o p i c s p r e s e n t e d . A h l f o r s , L., "An E x t e n s i o n o f Schwarz' Lemma", American Math. SOC. 43, 1938, 359-364). Ahlfors, L.,
(Transactions
Conformal I n v a r i a n t s , New York, 1973.
A p o s t o l , T . , Modular F u n c t i o n s and D i r i c h l e t Series i n Number Theory, S p r i n g e r , New York, 1976. Bieberbach, L . , A n a l y t i s c h e F o r t s e t z u n g , ( E r g e b n i s s e d e r Mathematik N.F., # 2 , S p r i n g e r , B e r l i n , 1 9 5 5 ) . Bieberbach, L . , Lehrbuch d e r F u n k t i o n e n t h e o r i e , Teubner, 1931, r e p r i n t e d by C h e l s e a , N e w York, 1945. Boas, R . ,
E n t i r e F u n c t i o n s , Academic P r e s s , 1954.
C a r t w r i g h t , M. 1962.
I n t e g r a l F u n c t i o n s , Cambridge U n i v e r s i t y P r e s s ,
Davenport, H . , M u l t i p l i c a t i v e Number Theory, r e v i s e d by H . Montgomery, S p r i n g e r , New York, 1980. F r i c k e , R., D i e E l l i p t i s c h e n Funktionen und I h r e Anwendungen, Teubner, L e i p z i g and B e r l i n , 1916, r e p r i n t e d by Johnson R e p r i n t , New York, 1972. Gaier, D . , K o n s t r u c t i v e Methoden d e r Konformen Abbildung, S p r i n g e r , 1964. G o l u s i n , G . , Geometric Theory o f F u n c t i o n s o f a Complex V a r i a b l e (AMS T r a n l a t i o n s o f Mathematical Monographs # 2 6 ) , Providence, 1 9 6 9 . Ilayman, W.
,
Merornorphic F u n c t i o n s , Oxford, 1964.
713
714
Sanford L. Segal
Henrici, P., Applied and Computational Complex Analysis, VJiley, 1973, 1977. Hurwitz, A . , and R. Courant, Funktionentheorie, Springer, Berlin, 1929. Huxley, M., The Distribution of Prime Numbers, Oxford, 1972. Landau, E., Darstellung Einige Neuere Ergebnisse der Funktionentheorie, Springer Berlin, 1929. Landau, E., Handbuch der Lehre von der Verteilung der Primzahlen, Chelsea Reprint, New York, 1953 (with notes by P. Bateman). Mathematical Essays dedicated to A.J. MacIntyre, Ohio U. Press, Columbus, 1970. Nehari, Z., Conformal Mapping, McGraw-Hill, 1952. Nevanlinna, R., Le Theoreme de Picard-Bore1 et la Th6orie des Fonctions Meromorphes, Paris, 1929. Nevanlinna, R., Analytic Functions, Springer, 1970. Ostrowski, A., On Representation of Analytical Functions by Power Series, Journal London Math. Soc.l,1926, 251-263. PBlya, G., Collected Papers, MIT Press, 1974. Pblya, G.,Untersuchungen iiber Liicken und Singularitaten von Potenzreihen (Mathematische Zeitschrift 29, 1929, 549-640). P6lya, G., and Szego, Aufgaben and Lehrsatze aus der Analysis, 4th edition, Springer, New York, 1970. There is an English 5th edition, Springer, New York, 1977. Pommerenke, C., Univalent Functions, Gottinyen, 1975. Sansone, G., and P. Gerretsen, Lectures on the Theory of Functions of a Complex Variable, V7olters-Nordhoff, Groningen, 1969. Tikchmarsh, E., Theory of Functions, Oxford, 1939. Titchmarsh, E., The Theory of the Riemann Zeta-function, Oxford, 1951. Valiron, G., Fonctions entisres d'ordre fini et fonctions mSromorphes, Monographie de 1'Enseignement Mathematique # 8 , GBnSve, 1960.
B i b l i o g r a p h i c Remarks V a l i r o n , G . , G e n e r a l Theory of I n t e g r a l F u n c t i o n s , T o u l o u s e , 1923. P J h i t t a k e r , E . , and G . PJatson, A Course of Modern A n a l y s i s , C a n b r i d g e , 1 9 2 7 (most r e c e n t l y r e p r i n t e d 1 9 7 8 ) .
715
E i b l i o g r a p h i c c i t a t i o n s are i n c o r p o r a t e d d i r e c t l y i n t o t h e t e x t . T h e r e f o r e w e l i s t h e r e o n l y a few o f t h e s t a n d a r d r e f e r e n c e s where f u r t h e r i n f o r m a t i o n can be found on t h e t o p i c s t r e a t e d i n t h i s book. These a r e a l s o mentioned i n t h e t e x t , b u t p e r h a p s w a r r a n t a s p e c i a l l i s t i n g h e r e as primary s o u r c e s f o r f u r t h e r i n f o r m a t i o n on v a r i o u s o f t h e t o p i c s p r e s e n t e d . A h l f o r s , L., "An E x t e n s i o n o f Schwarz' Lemma", American Math. SOC. 43, 1938, 359-364). Ahlfors, L.,
(Transactions
Conformal I n v a r i a n t s , New York, 1973.
A p o s t o l , T . , Modular F u n c t i o n s and D i r i c h l e t Series i n Number Theory, S p r i n g e r , New York, 1976. Bieberbach, L . , A n a l y t i s c h e F o r t s e t z u n g , ( E r g e b n i s s e d e r Mathematik N.F., # 2 , S p r i n g e r , B e r l i n , 1 9 5 5 ) . Bieberbach, L . , Lehrbuch d e r F u n k t i o n e n t h e o r i e , Teubner, 1931, r e p r i n t e d by C h e l s e a , N e w York, 1945. Boas, R . ,
E n t i r e F u n c t i o n s , Academic P r e s s , 1954.
C a r t w r i g h t , M. 1962.
I n t e g r a l F u n c t i o n s , Cambridge U n i v e r s i t y P r e s s ,
Davenport, H . , M u l t i p l i c a t i v e Number Theory, r e v i s e d by H . Montgomery, S p r i n g e r , New York, 1980. F r i c k e , R., D i e E l l i p t i s c h e n Funktionen und I h r e Anwendungen, Teubner, L e i p z i g and B e r l i n , 1916, r e p r i n t e d by Johnson R e p r i n t , New York, 1972. Gaier, D . , K o n s t r u c t i v e Methoden d e r Konformen Abbildung, S p r i n g e r , 1964. G o l u s i n , G . , Geometric Theory o f F u n c t i o n s o f a Complex V a r i a b l e (AMS T r a n l a t i o n s o f Mathematical Monographs # 2 6 ) , Providence, 1 9 6 9 . Ilayman, W.
,
Merornorphic F u n c t i o n s , Oxford, 1964.
713
714
Sanford L. Segal
Henrici, P., Applied and Computational Complex Analysis, VJiley, 1973, 1977. Hurwitz, A . , and R. Courant, Funktionentheorie, Springer, Berlin, 1929. Huxley, M., The Distribution of Prime Numbers, Oxford, 1972. Landau, E., Darstellung Einige Neuere Ergebnisse der Funktionentheorie, Springer Berlin, 1929. Landau, E., Handbuch der Lehre von der Verteilung der Primzahlen, Chelsea Reprint, New York, 1953 (with notes by P. Bateman). Mathematical Essays dedicated to A.J. MacIntyre, Ohio U. Press, Columbus, 1970. Nehari, Z., Conformal Mapping, McGraw-Hill, 1952. Nevanlinna, R., Le Theoreme de Picard-Bore1 et la Th6orie des Fonctions Meromorphes, Paris, 1929. Nevanlinna, R., Analytic Functions, Springer, 1970. Ostrowski, A., On Representation of Analytical Functions by Power Series, Journal London Math. Soc.l,1926, 251-263. PBlya, G., Collected Papers, MIT Press, 1974. Pblya, G.,Untersuchungen iiber Liicken und Singularitaten von Potenzreihen (Mathematische Zeitschrift 29, 1929, 549-640). P6lya, G., and Szego, Aufgaben and Lehrsatze aus der Analysis, 4th edition, Springer, New York, 1970. There is an English 5th edition, Springer, New York, 1977. Pommerenke, C., Univalent Functions, Gottinyen, 1975. Sansone, G., and P. Gerretsen, Lectures on the Theory of Functions of a Complex Variable, V7olters-Nordhoff, Groningen, 1969. Tikchmarsh, E., Theory of Functions, Oxford, 1939. Titchmarsh, E., The Theory of the Riemann Zeta-function, Oxford, 1951. Valiron, G., Fonctions entisres d'ordre fini et fonctions mSromorphes, Monographie de 1'Enseignement Mathematique # 8 , GBnSve, 1960.
B i b l i o g r a p h i c Remarks V a l i r o n , G . , G e n e r a l Theory of I n t e g r a l F u n c t i o n s , T o u l o u s e , 1923. P J h i t t a k e r , E . , and G . PJatson, A Course of Modern A n a l y s i s , C a n b r i d g e , 1 9 2 7 (most r e c e n t l y r e p r i n t e d 1 9 7 8 ) .
715