holomorphicadj.

/hɒləʊˈmɔːfɪk/

Etymology: < holo- comb. form + -morphic comb. form.

Categories »

1. Crystallography. The same as holohedral adj. or holosymmetrical adj., esp. as distinguished from hemimorphic adj.

2. Mathematics. Said of a function which is monogenic, uniform, and continuous.

ΘΚΠ

the world > relative properties > number > algebra > [adjective] > relating to expressions > relating to functions

generating1671

exponential1704

discontinuous1803

functional1806

odd1812

periodic1820

syzygetic1850

convex1858

graphometric1865

polycyclic1869

subrational1875

synectic1876

variational1879

polyhedral1881

holomorphic1886

tropical1887

Gudermannian1888

monogeneous1888

monotonous1890

oscillating1893

monotonic1901

monotone1903

orthogonalized1909

schlicht1925

concave1942

deconvolved1974

unate1978

1886 G. S. Carr Synopsis Elem. Results Math. II. Index 886 Holomorphic functions.

1893 A. R. Forsyth Theory Functions Complex Variable 15 When a function is called holomorphic without any limitation, the usual implication is that the character is preserved over the whole of the plane which is not at infinity.

Derivatives

holoˈmorphically adv. in such a way as to be or remain holomorphic (in sense 2).

ΘΚΠ

the world > relative properties > number > algebra > [adverb] > in the manner of specific functions

syzygetically1852

monotonically1904

exponentially1909

monotonely1911

monotonously1912

holomorphically1957

1957 Pacific Jrnl. Math. 7 812 There exist domains..such that all G-holomorphic functions can be continued G-holomorphically into a larger domain.

1966 Math. Rev. 31 33/2 A closed holomorphic differential p-form in x, holomorphically varying with y.

ˈholomorphy n. ‘the character of being holomorphic’ ( Cent. Dict.).

ΘΚΠ

the world > relative properties > number > algebra > [noun] > expression > function > property of

discontinuity1803

functionality1857

self-conjugation1866

covariance1878

symmetry1888

monogeneity1906

recursion1913

recursive definition1935

holomorphy1957

unateness1960

1957 Pacific Jrnl. Math. 7 820 If D is a domain of holomorphy, then the set C..belongs to D.

1963 tr. H. P. Cartan Elem. Theory of Analyt. Functions ii. 73 For functions of a complex variable, there is an equivalence between holomorphy and analyticity.

This entry has not yet been fully updated (first published 1899; most recently modified version published online June 2018).

单词	holomorphic
释义	holomorphicadj. /hɒləʊˈmɔːfɪk/ Etymology: < holo- comb. form + -morphic comb. form. Categories » 1. Crystallography. The same as holohedral adj. or holosymmetrical adj., esp. as distinguished from hemimorphic adj. 2. Mathematics. Said of a function which is monogenic, uniform, and continuous. ΘΚΠ the world > relative properties > number > algebra > [adjective] > relating to expressions > relating to functions generating1671 exponential1704 discontinuous1803 functional1806 odd1812 periodic1820 syzygetic1850 convex1858 graphometric1865 polycyclic1869 subrational1875 synectic1876 variational1879 polyhedral1881 holomorphic1886 tropical1887 Gudermannian1888 monogeneous1888 monotonous1890 oscillating1893 monotonic1901 monotone1903 orthogonalized1909 schlicht1925 concave1942 deconvolved1974 unate1978 1886 G. S. Carr Synopsis Elem. Results Math. II. Index 886 Holomorphic functions. 1893 A. R. Forsyth Theory Functions Complex Variable 15 When a function is called holomorphic without any limitation, the usual implication is that the character is preserved over the whole of the plane which is not at infinity. Derivatives holoˈmorphically adv. in such a way as to be or remain holomorphic (in sense 2). ΘΚΠ the world > relative properties > number > algebra > [adverb] > in the manner of specific functions syzygetically1852 monotonically1904 exponentially1909 monotonely1911 monotonously1912 holomorphically1957 1957 Pacific Jrnl. Math. 7 812 There exist domains..such that all G-holomorphic functions can be continued G-holomorphically into a larger domain. 1966 Math. Rev. 31 33/2 A closed holomorphic differential p-form in x, holomorphically varying with y. ˈholomorphy n. ‘the character of being holomorphic’ ( Cent. Dict.). ΘΚΠ the world > relative properties > number > algebra > [noun] > expression > function > property of discontinuity1803 functionality1857 self-conjugation1866 covariance1878 symmetry1888 monogeneity1906 recursion1913 recursive definition1935 holomorphy1957 unateness1960 1957 Pacific Jrnl. Math. 7 820 If D is a domain of holomorphy, then the set C..belongs to D. 1963 tr. H. P. Cartan Elem. Theory of Analyt. Functions ii. 73 For functions of a complex variable, there is an equivalence between holomorphy and analyticity. This entry has not yet been fully updated (first published 1899; most recently modified version published online June 2018). < adj.1886
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