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The pion and kaon electromagnetic form factors $F_M(Q^2)$ are calculated atthe leading order of pQCD using the running coupling constant method. Incalculations the leading and next-to-leading order terms in$\alpha_S((1-x)(1-y)Q^2)$ expansion in terms of $\alpha_S(Q^2)$ are taken intoaccount. The resummed expression for $F_M(Q^2)$ is found. Results of numericalcalculations for the pion (asymptotic distribution amplitude) are presented.Comment: 9 pages, 1 figur

THE RUNNING COUPLING METHOD WITH NEXT-TO-LEADING ORDER ACCURACY AND PION, KAON ELM FORM FACTORS