References
M. L. Cartwright,On the directions of Borel of functions which are regular and of finite order in an angle, Proc. London Math. Soc.38 (1930), 503–541.
M. L. Cartwright,Integral Functions, Cambridge, 1956.
D. Drasin and D. F. Shea,Asymptotic properties of entire functions extremal for the cos πϱtheorem, not yet published.
A. Edrei,The deficiencies of meromorphic functions of finite lower order, Duke Math. J.31 (1964), 1–22.
A. Edrei,Sums of deficiencies of meromorphic functions, J. Analyse Math.14 (1965), 79–107.
A. Edrei,Locally tauberian theorems for meromorphic functions of lower order less than one, Trans. Amer. Math. Soc.140 (1969), 309–332.
A. Edrei,A local form of the Phragmén-Lindelõf indicator, Mathematika17 (1970), 149–172.
A. Edrei and W. H. J. Fuchs,Bounds for the number of deficient values of certain classes of functions, Proc. London Math. Soc.12 (1962), 315–344.
A. Edrei and W. H. J. Fuchs,Asymptotic behavior of meromorphic functions with extremal spread II, not yet published.
E. W. Hobson,The Theory of Functions of a Real Variable and the Theory of Fourier Series, Vol. I, Cambridge, 1926.
B. Kjellberg,On the minimum modulus of entire functions of lower order less than one, Math. Scand.8 (1960), 189–197.
I. V. Ostrovskii,Deficiencies of meromorphic functions of order less than one, Dokl. Akad. Nauk SSSR.150 (1963), 32–35.
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The research of the author was supported by a grant from the National Science Foundation GP-28948.
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Edrei, A. Extremal problems of the cos πϱ-type. J. Anal. Math. 29, 19–66 (1976). https://doi.org/10.1007/BF02789975
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DOI: https://doi.org/10.1007/BF02789975