| contents introduct.ion chapter l.general theorems on the asymptotic behavior of entire and meromorphic functions(a.agol’dberg，bya.levin.v.ostrovskii) §1.characteristics of asymptotic behavior §2.relation between growth and decrease §3.relation between the indicator of sd entire function andsingularities of its borel transform §4.wiman-vallrintheory chapter 2.the connection between the growth of an entirefunction and the distribution of its zeros(b.ya.levin.v.ostrovskii) §1.classical results §2.entire functions of completely regular growth §3.entire functions of exponential type with restrictions on thereal axis. §4.exceptional sets §5.two-tcrm asyrnptotics a.a.gol，dberg，b.ya.levini.v.ostrovskfi §6.approximation of a subharmonic function by the logarithm of the modulus of an entire function §7.the relation between the growth and distribution of zeros and fourier coefl~cients chapter 3.limit sets of entire and subharmonic functions(vs.azarin). §1.principal notations and theorems §2.limit sets and their dcation to other characteristics §3.applications of limit sets §4.limit sets ss dynamical systems .chapter 4interpolation by entire functions(b.yalevin，v.a.tkachenko). §1.newton’s interpolation series §2.abel-conteharoff interpolation series §3.gelfond，s moments problem §4.lagrange’8 interpolation series §5.interpolation techniques based on solving the良problem §6.the lagrange interpolation process in some normed spaces chapter 5.distribution of vahues of meromorphic functions(aa.gol，dberg) §1.main nevanlinna theorems.nevanlinna deficient vbllues and deficient functions §2.inverse problems of value distributiontheory §3.the ahlfors了heory §4.valirondeficiencies §5.exceptional values in the sense of petrenk0 §6.asymptotic curves and asymptotic values. §7.julia and borel directionsfilling disks §8.closeness of a-points §9.value distribution of derivatives of meromorphic functions §10.valuedistribution with respect to arguments §11.valuedistribution of special classes of meromorphic functions §12.entire curves chapter 6.entire and meromorphic solutions of ordinary differential equations(a.e.eremenko) §1.nonhnear ades with meromorphic solutions §2.linear differential equations chapter 7.some applications of the theory of entire fauctilnm(i.v.ostrovskii) §1.riemann’b boundary problem with infinite index §2.the arithmetic of probability distributions §3.entire characteristic and ridge functions references |
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