Грамматика русского языка. Часть 9. Образование отглагольных существительных и причастий. Глава 2. Образование совершенных отглагольных существительных. Russian Grammar. Part 9. Formation of Gerunds (verbal nouns) and Participles. Unit 2. Formation of Perfective Gerunds.

Like imperfective gerunds, perfective gerunds are invariable. They are formed in the following ways:
in most verbs the final -л of the masculine form of the past tense is replaced by -в, e.g.

прочитaть (прочитaл) прочитaв, having read потянуть (потянул) почистить (почистил)

прочитaв, having read открыв, having opened потянув, having pulled почистив, having cleaned

Note: forms in -вши (e.g. прочитaвши, etc.) have an archaic flavour but may also occur.
Most perfective verbs which do not form their past tense by adding –л to the final vowel of the infinitive are in theory capable of forming gerunds by adding -ши to the masculine form of the past tense, e.g.
достигнуть (достиг) → достигши, having attained.

Грамматика русского языка. Часть 9. Образование отглагольных существительных и причастий. Глава 1. Образование несовершенных отглагольных существительных. Russian Grammar. Part 9. Formation of Gerunds (verbal nouns) and Participles. Unit 1. Formation of Imperfective Gerunds.

NOTE


There aren’t any gerunds in the Russian language. There is only a verbal noun (отглагольное существительное). The English gerund cannot be translated as a verbal noun.

Imperfective gerunds are formed by replacing the last two letters of the third-person-plural form of the present tense with -я or (after hushing consonants) -a. These forms are invariable.

нaчинaть (нaчинa/ют) нaчинaя - beginning
комaндовaть (комaнду/ют) комaндуя - commanding
жить (жив/ут) живя - living
приходить (приход/ят) приходя - arriving
дeржaть (дeрж/aт) дeржa – holding