University of Tehran Journal of Sciences, Islamic Republic of Iran 1016-1104 2 1 1991 06 01 ALGEBRAIC INDEPENDENCE OF CERTAIN FORMAL POWER SERIES (I) - 31506 EN Journal Article We give a proof of the generalisation of Mendes-France and Van der Poorten's recent result over an arbitrary field of positive characteristic and then by extending a result of Carlitz, we shall introduce a class of algebraically independent series. https://jsciences.ut.ac.ir/article_31506_c8045671083f48d8d09d1d2523ea8941.pdf