每個非常數整函式都取遍每一個複數值，至多有一個例外（Henrici 1988, p. 216; Apostol 1997）。此外，每個解析函式在任何鄰域的本性奇點的鄰域內，都無窮多次地取遍每一個複數值，可能有一個例外。
皮卡大定理
參見
解析函式, 本性奇點, 鄰域, 皮卡存在性定理, 皮卡小定理使用 探索
參考文獻
Apostol, T. M. "Application to Picard's Theorem." §2.9 in Modular Functions and Dirichlet Series in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 43-44, 1997.Bronshtein, I. N. and Semendyayev, K. A. Handbook of Mathematics, 3rd ed. New York: Springer-Verlag, 1997.Henrici, P. Applied and Computational Complex Analysis, Vol. 1: Power Series-Integration-Conformal Mapping-Location of Zeros. New York: Wiley, 1988.Korn, G. A. and Korn, T. M. Mathematical Handbook for Scientists and Engineers. New York: McGraw-Hill, 1968.Krantz, S. G. "Picard's Great Theorem." §10.5.3 in Handbook of Complex Variables. Boston, MA: Birkhäuser, p. 140, 1999.Narasimhan, R. and Nievergelt, Y. Complex Analysis in One Variable. Boston: Birkhäuser, 2001.Remmert, R. Funktionentheorie 1. Berlin: Springer-Verlag, 1992.Remmert, R. Funktionentheorie 2. Berlin: Springer-Verlag, 1992.Trott, M. "Elementary Transcendental Functions." The Mathematica GuideBook for Programming. New York: Springer-Verlag, p. 166, 2004. http://www.mathematicaguidebooks.org/.在 上引用
皮卡大定理請引用為
Weisstein, Eric W. "皮卡大定理。" 來自 Web 資源。 https://mathworld.tw/PicardsGreatTheorem.html